{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":46,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":46,"direct_label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline (scores rank; they never assert a category)","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12","author_layer_release":"2026-06-26"},"query_hash":"c92239189373","filters":{"venue":"Integral Transforms and Special Functions"}},"results":[{"id":"W2078948452","doi":"10.1080/10652460304543","title":"Certain Subclasses of Analytic Functions Associated with the Generalized Hypergeometric Function","year":2003,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":286,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Generalized hypergeometric function; Basic hypergeometric series; Hypergeometric function; Barnes integral; Bilateral hypergeometric series; Hypergeometric function of a matrix argument; Hypergeometric identity; Pure mathematics; Analytic function; Confluent hypergeometric function; Function (biology); Generalized function; Algebra over a field","authors":[{"name":"Jacek Dziok","is_ca":false},{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02881584164519638,"gpt":0.2481487692624452,"spread":0.2193329276172488,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002057836,0.0007912242,0.001066332,0.003672893,0.001749023,0.003681686,0.0009783221,0.000942123,0.001846769],"category_scores_gemma":[0.008295638,0.0004288242,0.001148098,0.001730005,0.002895236,0.003577956,0.001424089,0.002096099,0.0003905942],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002409721,"about_ca_system_score_gemma":0.0007264075,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001572807,"about_ca_topic_score_gemma":0.0006813363,"domain_scores_codex":[0.9989403,0.0002337402,0.00006928886,0.0002215797,0.0003411285,0.0001939756],"domain_scores_gemma":[0.9964701,0.001387798,0.0006032318,0.0003891501,0.0007371234,0.0004126851],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004640406,0.00002241299,0.001839409,0.00004167089,0.00001561717,0.0002071325,0.0003611654,0.002503996,0.00251331,0.9827602,0.0008731851,0.00881556],"study_design_scores_gemma":[0.00002530351,0.00004425427,0.003082232,0.00005022554,0.00003035393,0.001156379,0.000513254,0.07109667,0.003539494,0.9100675,0.01034604,0.00004833511],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7301593,0.002327912,0.2004292,0.001326448,0.0001806941,0.0001013581,0.0002733222,0.0002910873,0.06491074],"genre_scores_gemma":[0.9688159,0.001458228,0.02285785,0.0001771915,0.000312317,0.00009349355,0.0003686499,0.0001048515,0.005811533],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003681686,"threshold_uncertainty_score":0.01748389,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2111280161","doi":"10.1080/10652469.2010.530128","title":"Integral and computational representations of the extended Hurwitz–Lerch zeta function","year":2011,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":100,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Pure mathematics; Continuation; Polylogarithm; Bernoulli polynomials; Analytic continuation; Riemann zeta function; Hypergeometric function; Algebra over a field; Arithmetic zeta function; Mathematical analysis; Prime zeta function","authors":[{"name":"H. M. Srivastava","is_ca":true},{"name":"Ram K. Saxena","is_ca":false},{"name":"Tibor K. Pogány","is_ca":false},{"name":"Ravi Saxena","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06708238984146644,"gpt":0.304065859778706,"spread":0.2369834699372395,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001686001,0.0005891931,0.0007293035,0.001662088,0.0009709732,0.003666901,0.001357604,0.000718117,0.004652537],"category_scores_gemma":[0.005926185,0.0002519089,0.001145271,0.001361298,0.002310353,0.006761903,0.001923652,0.002051409,0.0006912371],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00132739,"about_ca_system_score_gemma":0.0009226191,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005934329,"about_ca_topic_score_gemma":0.0004098766,"domain_scores_codex":[0.9991063,0.0002343398,0.00005357442,0.0001084085,0.0003493318,0.0001479859],"domain_scores_gemma":[0.9984828,0.0006907167,0.0001117789,0.0003740821,0.0002380175,0.000102645],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000114753,0.00001627089,0.0002190702,0.0000311802,0.000003858234,0.00005246439,0.000174192,0.00373231,0.000539262,0.9862496,0.000400976,0.008569403],"study_design_scores_gemma":[0.000009133982,0.00001844369,0.000214345,0.00003814896,0.000009986634,0.0001665177,0.0001142845,0.0894436,0.001219456,0.90325,0.005496367,0.00001976616],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2029519,0.002324594,0.7276798,0.001619322,0.0002331015,0.00009825743,0.0001554116,0.0003160378,0.06462148],"genre_scores_gemma":[0.8450974,0.002078597,0.1403687,0.0002351391,0.0004670752,0.0001368558,0.0002137838,0.0001675546,0.01123497],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004652537,"threshold_uncertainty_score":0.01556426,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1971081516","doi":"10.1080/10652469.2011.623350","title":"The incomplete Pochhammer symbols and their applications to hypergeometric and related functions","year":2011,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Digital Filter Design and Implementation","field":"Computer Science","cited_by":95,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Generalized hypergeometric function; Hypergeometric function; Generalization; Hypergeometric function of a matrix argument; Pure mathematics; Special functions; Algebra over a field; Class (philosophy); Hypergeometric distribution; Mathematical analysis; Computer science; Artificial intelligence","authors":[{"name":"H. M. Srivastava","is_ca":true},{"name":"M. Aslam Chaudhry","is_ca":false},{"name":"Ravi P. Agarwal","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03620437961624186,"gpt":0.2327523009411531,"spread":0.1965479213249112,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001911721,0.0008941581,0.0007861257,0.002142897,0.000615669,0.002439583,0.0008001118,0.001047381,0.002090827],"category_scores_gemma":[0.006929189,0.0003066641,0.0006711128,0.002071717,0.003126172,0.003646222,0.001049239,0.001929791,0.0008616659],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006701014,"about_ca_system_score_gemma":0.0007607022,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003509276,"about_ca_topic_score_gemma":0.0002839175,"domain_scores_codex":[0.9992237,0.0002896861,0.00006847126,0.00009517324,0.0002457737,0.00007724037],"domain_scores_gemma":[0.9978139,0.001029921,0.0002963459,0.0003835121,0.0003490389,0.0001273173],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002006641,0.000008420903,0.0001019359,0.00003856593,0.000005617909,0.0001462809,0.0001573477,0.009848598,0.001565707,0.9707856,0.0006484259,0.01667334],"study_design_scores_gemma":[0.000005405046,0.00002977071,0.00009194043,0.00002776095,0.000005863978,0.0002466338,0.00006672798,0.06060093,0.001451904,0.9310436,0.00640362,0.00002579481],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.03003891,0.001821522,0.9508711,0.0004801204,0.0003997174,0.00002645585,0.0001074732,0.0001995175,0.01605527],"genre_scores_gemma":[0.5464946,0.006377805,0.4317616,0.0008096682,0.001159387,0.0001952581,0.0001929003,0.0002687355,0.01274008],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.002439583,"threshold_uncertainty_score":0.01011026,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1976212494","doi":"10.1080/10652460701284164","title":"A weighted and exponential generalization of Wilker's inequality and its applications","year":2007,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":81,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":true},"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Generalization; Inequality; Exponential function; Applied mathematics; Calculus (dental); Mathematical economics; Algebra over a field; Pure mathematics; Mathematical analysis; Medicine","authors":[{"name":"Shanhe Wu","is_ca":false},{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04849430934350587,"gpt":0.3160441402540019,"spread":0.2675498309104961,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00233603,0.0007224187,0.0006089776,0.001676325,0.0009736283,0.001423953,0.001659149,0.0009948967,0.007786539],"category_scores_gemma":[0.006067061,0.0002549731,0.000974702,0.001861392,0.002467592,0.006307164,0.002854986,0.003935607,0.0005523596],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001783262,"about_ca_system_score_gemma":0.0005939507,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001170923,"about_ca_topic_score_gemma":0.00095677,"domain_scores_codex":[0.9983935,0.0003302573,0.00007458789,0.000433773,0.00050938,0.0002585036],"domain_scores_gemma":[0.9969566,0.001400785,0.0002666447,0.0004530654,0.0007334587,0.0001894989],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005341045,0.00003796662,0.0007366394,0.0001154713,0.000025056,0.0002251149,0.0001402388,0.004614458,0.004469442,0.9629069,0.002814887,0.02386038],"study_design_scores_gemma":[0.00001099711,0.00003814967,0.001378194,0.00003633192,0.00001834429,0.000322072,0.00010224,0.05524086,0.003258506,0.9276763,0.01189035,0.00002763918],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1501554,0.004305928,0.7279693,0.005579628,0.0009523986,0.00009559424,0.0003290664,0.0002424415,0.1103703],"genre_scores_gemma":[0.8922242,0.003043582,0.07814498,0.001199827,0.001559326,0.0001080446,0.0002983235,0.0000951012,0.02332658],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007786539,"threshold_uncertainty_score":0.0260486,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2127202408","doi":"10.1080/10652469.2011.643627","title":"Some families of Genocchi type polynomials and their interpolation functions","year":2012,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":71,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Difference polynomials; Orthogonal polynomials; Interpolation (computer graphics); Type (biology); Classical orthogonal polynomials; Discrete orthogonal polynomials; Algebra over a field; Pure mathematics; Wilson polynomials; Gegenbauer polynomials; Macdonald polynomials; Artificial intelligence; Computer science","authors":[{"name":"H. M. Srivastava","is_ca":true},{"name":"Burak Kurt","is_ca":false},{"name":"Yılmaz Şimşek","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04126118493710859,"gpt":0.2882539422159174,"spread":0.2469927572788088,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008334209,0.0004626159,0.0003720135,0.001582741,0.001099441,0.0007035677,0.0006835597,0.0005589176,0.003274201],"category_scores_gemma":[0.002023968,0.0001873246,0.0006282213,0.0009430111,0.001231882,0.001071933,0.000677161,0.001200779,0.0003855254],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00107063,"about_ca_system_score_gemma":0.0005969558,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001250793,"about_ca_topic_score_gemma":0.0008790679,"domain_scores_codex":[0.9996514,0.0001072603,0.00001001882,0.00004585973,0.0001020168,0.00008347954],"domain_scores_gemma":[0.9993927,0.0002253777,0.0001107887,0.00005755043,0.0001235262,0.00008997488],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003757679,0.00001277436,0.0006730847,0.0000388944,0.000005903092,0.0002581577,0.000269467,0.003050827,0.002732289,0.9801993,0.00085174,0.01187011],"study_design_scores_gemma":[0.00004817644,0.0001201905,0.002655206,0.00005667106,0.00002800668,0.001664202,0.0002846234,0.07340918,0.009099792,0.8914014,0.02116436,0.0000682777],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6844063,0.001717388,0.2369669,0.0009601159,0.00021986,0.00005891932,0.0002407495,0.0002769727,0.07515273],"genre_scores_gemma":[0.9619054,0.0006842172,0.02554245,0.0001538951,0.0001678894,0.00006077802,0.0001435308,0.00006689906,0.01127496],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003274201,"threshold_uncertainty_score":0.01095331,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2035368397","doi":"10.1080/10652460802340931","title":"A further refinement of Wilker's inequality","year":2008,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":61,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Inequality; Taylor series; Log sum inequality; Algebra over a field; Rearrangement inequality; Kantorovich inequality; Linear inequality; Pure mathematics; Calculus (dental); Applied mathematics; Mathematical analysis","authors":[{"name":"Shanhe Wu","is_ca":false},{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1045830446483596,"gpt":0.3186175159233763,"spread":0.2140344712750167,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006240434,0.001520758,0.001681645,0.002909683,0.001300858,0.00311117,0.002361404,0.001668493,0.01319937],"category_scores_gemma":[0.01296104,0.0004593946,0.002459979,0.002180286,0.003723431,0.01028524,0.003687652,0.009045625,0.003123202],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001839365,"about_ca_system_score_gemma":0.001959027,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001631888,"about_ca_topic_score_gemma":0.001726093,"domain_scores_codex":[0.995684,0.0009391174,0.0002484313,0.001141985,0.001492153,0.0004943938],"domain_scores_gemma":[0.9934883,0.002813868,0.0004245025,0.0009305961,0.002007592,0.0003351614],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00007900144,0.00005502875,0.0004399431,0.0003191118,0.00005560307,0.0003145751,0.0002923404,0.003855529,0.01066342,0.9338185,0.007648689,0.04245838],"study_design_scores_gemma":[0.00003539085,0.0001781539,0.001678333,0.0001228562,0.00008023007,0.0006689057,0.0001695349,0.05396066,0.009865612,0.8805141,0.0525967,0.0001294836],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0232021,0.002714558,0.8658078,0.004227838,0.002529358,0.0001399465,0.0005765525,0.0003475943,0.1004543],"genre_scores_gemma":[0.4308797,0.006161808,0.4665059,0.005120199,0.005929483,0.0003514329,0.001172283,0.0006083812,0.0832708],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01319937,"threshold_uncertainty_score":0.04415625,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4245330902","doi":"10.1080/10652469.2013.822207","title":"On some formulas for the Appell function<i>F</i><sub>2</sub>(<i>a, b, b</i>′;<i>c, c</i>′;<i>w; z</i>)","year":2013,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":60,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Prince Edward Island","funders":"","keywords":"Mathematics; Transformation (genetics); Function (biology); Limit (mathematics); Recurrence relation; Gamma function; Pure mathematics; Special functions; Appell series; Mathematical analysis; Hypergeometric function; Generalized hypergeometric function; Hypergeometric function of a matrix argument","authors":[{"name":"Yu. A. Brychkov","is_ca":false},{"name":"Nasser Saad","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02673821411451298,"gpt":0.249921613471921,"spread":0.223183399357408,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001098751,0.0009600491,0.0005957502,0.002124522,0.001066618,0.00130504,0.001179236,0.0008721148,0.00853732],"category_scores_gemma":[0.003650233,0.0003258745,0.0009439605,0.001612753,0.001793594,0.003171537,0.000839842,0.00206901,0.003409349],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001288378,"about_ca_system_score_gemma":0.0007554207,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00181908,"about_ca_topic_score_gemma":0.002089485,"domain_scores_codex":[0.9996909,0.00007406037,0.00002652026,0.00003889502,0.0001334958,0.00003614333],"domain_scores_gemma":[0.9994367,0.0002076511,0.00006498299,0.00006908068,0.0001914371,0.00003016392],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001080988,0.00001708302,0.0001580052,0.00008240113,0.00000575266,0.0001728681,0.0003855188,0.002076594,0.00348891,0.9652587,0.003090695,0.02525267],"study_design_scores_gemma":[0.000007866582,0.00002111228,0.0002991125,0.00007462359,0.00001882797,0.0006283316,0.0001655742,0.03512153,0.005702325,0.9412424,0.01668503,0.00003325761],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07679477,0.003635439,0.7469346,0.001503181,0.0006662194,0.0001481846,0.0004392863,0.0005127817,0.1693656],"genre_scores_gemma":[0.5739917,0.007378771,0.3281385,0.0009061514,0.0007435279,0.0004448725,0.0007269686,0.001180555,0.08648903],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00853732,"threshold_uncertainty_score":0.02856016,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1965885937","doi":"10.1080/10652460903064216","title":"Some properties of functions related to the gamma and psi functions","year":2009,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":48,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Monotonic function; Mathematics; Gamma function; Function (biology); Pure mathematics; Applied mathematics; Mathematical analysis","authors":[{"name":"Chao-Ping Chen","is_ca":false},{"name":"Feng Qi","is_ca":false},{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05550035880540181,"gpt":0.2848020010765773,"spread":0.2293016422711755,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002483667,0.0006726868,0.0006283069,0.001717318,0.0007594906,0.001612629,0.0007332265,0.0008489474,0.00420122],"category_scores_gemma":[0.009986865,0.0002574756,0.0007611851,0.001281825,0.002468347,0.005260483,0.0009277292,0.002466923,0.0005908284],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007821487,"about_ca_system_score_gemma":0.0006075771,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005571513,"about_ca_topic_score_gemma":0.0002867578,"domain_scores_codex":[0.999223,0.0002394712,0.00004609205,0.0001066222,0.000260843,0.0001239482],"domain_scores_gemma":[0.9960486,0.002178768,0.000465843,0.0002899503,0.0007943732,0.0002225039],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000663822,0.00002704119,0.001027883,0.000156487,0.00001484621,0.0002979092,0.0004029005,0.004035685,0.00548633,0.9631897,0.001497984,0.02379676],"study_design_scores_gemma":[0.0000175723,0.00009874767,0.001972198,0.00007906045,0.00002186968,0.001205442,0.0003745764,0.04968438,0.004546939,0.933335,0.00862927,0.00003490625],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3637606,0.003638978,0.5163287,0.002230035,0.0002377786,0.00009883853,0.0004438579,0.0002315472,0.1130298],"genre_scores_gemma":[0.9287105,0.003472323,0.05626953,0.0005258707,0.0005611399,0.0001540206,0.0005256507,0.0001803378,0.009600682],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00420122,"threshold_uncertainty_score":0.01405454,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2530947135","doi":"10.1080/10652469.2016.1221952","title":"New<i>L</i><sup><i>p</i></sup>-boundedness properties for the Kontorovich–Lebedev and Mehler–Fock transforms","year":2016,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":35,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Fock space; Mathematics; Pure mathematics; Calculus (dental); Physics; Quantum mechanics; Medicine","authors":[{"name":"H. M. Srivastava","is_ca":true},{"name":"B. J. González","is_ca":false},{"name":"E. R. Negrín","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0507789846925072,"gpt":0.2685346704804001,"spread":0.2177556857878929,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004327442,0.001155706,0.00112891,0.003410005,0.001219822,0.003775037,0.001760525,0.001639338,0.005840058],"category_scores_gemma":[0.01070869,0.0005564661,0.001788864,0.001437303,0.005794074,0.009100285,0.002792922,0.005945662,0.0009058396],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001321233,"about_ca_system_score_gemma":0.0007022152,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002575078,"about_ca_topic_score_gemma":0.0001889981,"domain_scores_codex":[0.9986533,0.0003751044,0.0001060388,0.0002730149,0.0004638868,0.0001286135],"domain_scores_gemma":[0.9948534,0.00291206,0.0005978337,0.0004755018,0.0007243688,0.0004367784],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001567421,0.00002007693,0.0002070546,0.0001063381,0.000008709944,0.0001506268,0.0002655147,0.001029866,0.001949098,0.9899588,0.0006410125,0.005647316],"study_design_scores_gemma":[0.000009851863,0.00004520703,0.000320544,0.00006300225,0.00001274092,0.0005285421,0.0001109625,0.02095207,0.002636326,0.9709311,0.00435099,0.00003867883],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09512863,0.006928231,0.801899,0.002779573,0.0007685465,0.00009012371,0.0002748955,0.0002577923,0.09187324],"genre_scores_gemma":[0.808527,0.005210374,0.165732,0.001187266,0.002020692,0.0002271255,0.0004152886,0.0006746043,0.01600572],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005840058,"threshold_uncertainty_score":0.02288598,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2079088525","doi":"10.1080/10652460601135342","title":"A class of nonlinear integral operators preserving subordination and superordination","year":2007,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Subordination (linguistics); Mathematics; Unit disk; Nonlinear system; Class (philosophy); Fourier integral operator; Integral transform; Differential (mechanical device); Analytic function; Mathematical analysis; Squeeze theorem; Microlocal analysis; Pure mathematics; Univalent function; Space (punctuation); Operator theory; Fixed-point theorem","authors":[{"name":"Nak Eun Cho","is_ca":false},{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02290367501270034,"gpt":0.2826455111332452,"spread":0.2597418361205448,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004282707,0.000395457,0.0003689868,0.0007164167,0.0007739268,0.001062442,0.0005016204,0.0004096735,0.001503307],"category_scores_gemma":[0.001119737,0.0001150175,0.0004559841,0.0003864681,0.001564674,0.001985509,0.001090702,0.0008395879,0.0002155713],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003857895,"about_ca_system_score_gemma":0.0003847257,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002125341,"about_ca_topic_score_gemma":0.0001707233,"domain_scores_codex":[0.999765,0.00003085558,0.00001460138,0.00005481718,0.00009680641,0.00003795598],"domain_scores_gemma":[0.9995251,0.00009232148,0.00009751481,0.00006770738,0.0001230391,0.00009430671],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006701253,0.00003190406,0.0007767328,0.00007550519,0.00001161803,0.0005323515,0.000495863,0.001281591,0.02804849,0.9530236,0.000313348,0.01534198],"study_design_scores_gemma":[0.00003788433,0.0001624954,0.002001405,0.00003226271,0.00003418349,0.003206947,0.0006977437,0.05403828,0.02655151,0.9054742,0.007713349,0.00004989651],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7172878,0.0007315465,0.2424282,0.0003042677,0.0001621475,0.00005709321,0.00006641524,0.0001210962,0.03884149],"genre_scores_gemma":[0.9712068,0.0003783322,0.02172605,0.00009399711,0.00008683187,0.00003482849,0.00005577639,0.00003394702,0.006383403],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001503307,"threshold_uncertainty_score":0.005029082,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1670149396","doi":"10.1080/10652461003748112","title":"Some uniqueness results for the non-trivially complete monotonicity of a class of functions involving the polygamma and related functions","year":2010,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"Victoria University","keywords":"Monotonic function; Mathematics; Uniqueness; Sign (mathematics); Function (biology); Class (philosophy); Order (exchange); Combinatorics; Pure mathematics; Mathematical analysis; Discrete mathematics","authors":[{"name":"Bai‐Ni Guo","is_ca":false},{"name":"Feng Qi","is_ca":false},{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05022525571754009,"gpt":0.2938059436147176,"spread":0.2435806878971775,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003281758,0.000664905,0.0007399064,0.001274521,0.0009278649,0.001348775,0.0009788171,0.0008781051,0.002116084],"category_scores_gemma":[0.007202696,0.0003183957,0.001299955,0.0006689513,0.002474403,0.002716086,0.001568058,0.002109253,0.000280173],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006244801,"about_ca_system_score_gemma":0.0007366756,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004903416,"about_ca_topic_score_gemma":0.0003072585,"domain_scores_codex":[0.9994159,0.0002164425,0.00003247435,0.0001140846,0.0001249395,0.00009606943],"domain_scores_gemma":[0.9976951,0.001218846,0.0003007415,0.0001999055,0.000366647,0.0002186683],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004158995,0.00002738415,0.001453696,0.00007794844,0.00002797153,0.0002861134,0.0003126916,0.004008356,0.00345001,0.9761518,0.0008495835,0.0133129],"study_design_scores_gemma":[0.0000237335,0.00009492892,0.002212203,0.00007025729,0.00003546697,0.000981023,0.0003293196,0.08208347,0.004404584,0.9033459,0.00637699,0.00004194498],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3994242,0.003513816,0.5475238,0.002175644,0.0002435727,0.00005441075,0.0001586365,0.0001236421,0.04678233],"genre_scores_gemma":[0.9146889,0.001860987,0.07282388,0.0004961669,0.0004413116,0.0001225144,0.0001574852,0.00008997937,0.009318692],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003281758,"threshold_uncertainty_score":0.0173558,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1977581607","doi":"10.1080/10652469.2014.961452","title":"Continuous inversion formulas for multi-dimensional modified Stockwell transforms","year":2014,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Image and Signal Denoising Methods","field":"Computer Science","cited_by":29,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada; Università degli Studi di Torino","keywords":"Inversion (geology); Mathematics; Algorithm; Applied mathematics; Calculus (dental); Geology","authors":[{"name":"Luigi Riba","is_ca":false},{"name":"M. W. Wong","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03384001752500337,"gpt":0.2706431633901715,"spread":0.2368031458651682,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001175896,0.0008500536,0.0004587926,0.001542458,0.0003506742,0.001639638,0.0009835173,0.001147793,0.005267639],"category_scores_gemma":[0.003987459,0.0002912029,0.000666072,0.0008319023,0.001391177,0.003541695,0.001530935,0.002255736,0.001349455],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005692904,"about_ca_system_score_gemma":0.0003847868,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006923846,"about_ca_topic_score_gemma":0.0009446982,"domain_scores_codex":[0.9996125,0.00007220717,0.00003376506,0.00005671012,0.0001811449,0.00004380029],"domain_scores_gemma":[0.9991352,0.0003000172,0.0001040143,0.0001083612,0.0002727775,0.00007971498],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002129149,0.00002193294,0.000242332,0.00006593661,0.00001198247,0.0001754484,0.0001429981,0.007500594,0.006912626,0.9537201,0.001934592,0.02925019],"study_design_scores_gemma":[0.00001164967,0.00003937817,0.0003132239,0.00004638387,0.00002210319,0.0006307046,0.000102124,0.2726865,0.008091482,0.7058076,0.01219293,0.0000558785],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0177012,0.001133125,0.9639454,0.0004278781,0.000302696,0.00002532548,0.00008111522,0.0001195276,0.01626364],"genre_scores_gemma":[0.5031983,0.003858355,0.4521495,0.0009532269,0.0008490681,0.0001586672,0.0003019604,0.000595231,0.03793574],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.005267639,"threshold_uncertainty_score":0.01762205,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2125862164","doi":"10.1080/10652460701712727","title":"Some refined families of Jordan-type inequalities and their applications","year":2008,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":true},"ca_institutions":"University of Victoria","funders":"","keywords":"Inequality; Mathematics; Type (biology); Natural (archaeology); Polynomial; Representation (politics); Algebra over a field; Order (exchange); Pure mathematics; Calculus (dental); Geography; Political science; Law; Mathematical analysis","authors":[{"name":"Shanhe Wu","is_ca":false},{"name":"H. M. Srivastava","is_ca":true},{"name":"Lokenath Debnath","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07646815132561924,"gpt":0.2931337338999025,"spread":0.2166655825742833,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003282776,0.0005754865,0.000580758,0.001690577,0.0009464718,0.00130637,0.001133791,0.0007324894,0.006911093],"category_scores_gemma":[0.007280609,0.0002398977,0.0008173524,0.001463738,0.001865898,0.003746364,0.002121229,0.002842553,0.000479934],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001326039,"about_ca_system_score_gemma":0.0006039134,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009906471,"about_ca_topic_score_gemma":0.000976263,"domain_scores_codex":[0.9987504,0.000417896,0.00007051709,0.0001688471,0.0004592652,0.0001331431],"domain_scores_gemma":[0.997447,0.001127936,0.0003296719,0.0002731211,0.0006581322,0.0001640442],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004167261,0.00001792248,0.0005057852,0.00005336192,0.00001117261,0.0001136004,0.0001735792,0.004379172,0.002224894,0.9769032,0.001250246,0.01432551],"study_design_scores_gemma":[0.00001985094,0.0000572474,0.00112406,0.00005436749,0.00001360636,0.0002452474,0.0001730576,0.09202079,0.002719925,0.8889673,0.01457399,0.00003055697],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2227327,0.003668888,0.6824806,0.002927269,0.0004002875,0.0001240259,0.0003431604,0.0001679183,0.08715522],"genre_scores_gemma":[0.8504402,0.00249517,0.1239781,0.0006218079,0.0007784457,0.0001772882,0.0003606195,0.00007855344,0.02106977],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006911093,"threshold_uncertainty_score":0.02311993,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2156950514","doi":"10.1080/10652460701635456","title":"Some subclasses of multivalent analytic functions involving the Dziok–Srivastava operator","year":2008,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"North Dakota State University","keywords":"Mathematics; Convolution (computer science); Analytic function; Operator (biology); Special functions; Integral transform; Algebra over a field; Function (biology); Pure mathematics; Mathematical analysis; Computer science; Artificial intelligence","authors":[{"name":"Zhi-Gang Wang","is_ca":false},{"name":"Yue-Ping Jiang","is_ca":false},{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05308650966978078,"gpt":0.2729269648901653,"spread":0.2198404552203845,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005590583,0.000471836,0.0005600487,0.001701474,0.0009809303,0.001569977,0.000632111,0.0007258136,0.002531528],"category_scores_gemma":[0.001521323,0.000158233,0.0008194825,0.0007434938,0.001188247,0.002972626,0.0007879707,0.001238961,0.0002683697],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008743165,"about_ca_system_score_gemma":0.0003708311,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006987855,"about_ca_topic_score_gemma":0.0003221007,"domain_scores_codex":[0.9996885,0.00004230783,0.00002127897,0.00007326205,0.0001116034,0.00006301432],"domain_scores_gemma":[0.9994594,0.0001885463,0.0001029205,0.00006676539,0.0001019512,0.00008028829],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003838503,0.00002932816,0.001234078,0.00005668678,0.00001276797,0.0004232674,0.0003824444,0.002129522,0.006566081,0.9736708,0.0008454163,0.01461114],"study_design_scores_gemma":[0.00003122606,0.00007480911,0.003288127,0.00006153987,0.00005177874,0.002698126,0.0009652352,0.1056298,0.009698493,0.8558696,0.02157634,0.00005493452],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6853586,0.00261619,0.2255862,0.00122848,0.0001914327,0.00007802281,0.0001890331,0.0001794132,0.08457267],"genre_scores_gemma":[0.9742388,0.001091103,0.01589453,0.0001324334,0.0002309765,0.00005522446,0.0001806118,0.00004886488,0.008127428],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002531528,"threshold_uncertainty_score":0.008468807,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2067700117","doi":"10.1080/10652461003593294","title":"Integral Representations for the Euler-Mascheroni Constant γ","year":2010,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Digamma function; Mathematics; Euler's formula; Constant (computer programming); Variety (cybernetics); Calculus (dental); Pure mathematics; Riemann zeta function; Mathematical analysis; Arithmetic zeta function; Computer science; Prime zeta function","authors":[{"name":"Junesang Choi","is_ca":false},{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04745206437679829,"gpt":0.3326066850075009,"spread":0.2851546206307026,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001143822,0.0007305817,0.0004270265,0.002715304,0.001033712,0.002091923,0.0007971457,0.000812232,0.009155406],"category_scores_gemma":[0.003111042,0.0001978083,0.0004660159,0.001254506,0.002651668,0.003716866,0.00170468,0.001862155,0.0006918128],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001665077,"about_ca_system_score_gemma":0.0005012557,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004537638,"about_ca_topic_score_gemma":0.0003865171,"domain_scores_codex":[0.9996656,0.00007083586,0.00001421263,0.00005582488,0.0001406947,0.0000528312],"domain_scores_gemma":[0.9992031,0.0003047846,0.0001457333,0.00008641214,0.0001561813,0.0001038129],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000005849213,0.000005005144,0.0001383547,0.00001572655,0.000001408995,0.000040167,0.0001021114,0.0003761124,0.0007165817,0.9951572,0.0003282755,0.003113099],"study_design_scores_gemma":[0.000004845308,0.00001448586,0.0005427683,0.0000277038,0.000005226346,0.0002761152,0.0000990779,0.01005361,0.001376692,0.9826471,0.004941083,0.00001126524],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.524121,0.00586762,0.283611,0.003296872,0.0007742546,0.00005980314,0.0001349618,0.000279218,0.1818552],"genre_scores_gemma":[0.9547482,0.001907698,0.01842379,0.0002210575,0.0006210048,0.00004050723,0.00006886939,0.00008346096,0.02388539],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009155406,"threshold_uncertainty_score":0.03062785,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1978746628","doi":"10.1080/10652461003799511","title":"Mittag-Leffler functions to pathway model to Tsallis statistics","year":2010,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Statistical Mechanics and Entropy","field":"Physics and Astronomy","cited_by":20,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"Department of Science and Technology, Ministry of Science and Technology, India","keywords":"Mathematics; Fractional calculus; Hypergeometric function; Tsallis statistics; Applied mathematics; Pure mathematics; Generalization; Special functions; Algebra over a field; Calculus (dental); Mathematical analysis","authors":[{"name":"A. M. Mathai","is_ca":true},{"name":"H. J. Haubold","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01282319073979085,"gpt":0.2485426958215843,"spread":0.2357195050817935,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001436837,0.001024863,0.001071612,0.00167081,0.0006964473,0.001901102,0.0009295342,0.001217946,0.005100024],"category_scores_gemma":[0.006040295,0.0003013228,0.001227285,0.001767863,0.002440006,0.003742143,0.001475515,0.002191472,0.0009000757],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001406325,"about_ca_system_score_gemma":0.0008451387,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001995472,"about_ca_topic_score_gemma":0.0008577041,"domain_scores_codex":[0.9994899,0.0002382289,0.00002304074,0.00008942542,0.00009085472,0.00006851008],"domain_scores_gemma":[0.9985399,0.0007912112,0.0001719727,0.0001469931,0.0002010313,0.0001488437],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000007921712,0.00000881197,0.00009746508,0.00002728976,0.000006345153,0.00005058254,0.00008523363,0.01011954,0.0003739334,0.9861013,0.0004980515,0.002623598],"study_design_scores_gemma":[0.000004235925,0.00001456558,0.0001540413,0.000009009775,0.000005531257,0.00005314005,0.00003635967,0.08347581,0.0001800725,0.9142252,0.001832186,0.000009900748],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1634644,0.004968418,0.7838557,0.002791442,0.0005871101,0.00006363221,0.0003136305,0.0003505267,0.04360504],"genre_scores_gemma":[0.9303618,0.005254408,0.04089786,0.0007158695,0.001196798,0.0001408947,0.0002769955,0.0002141582,0.02094131],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005100024,"threshold_uncertainty_score":0.01706123,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2145348604","doi":"10.1080/10652469.2012.668904","title":"A new Leibniz rule and its integral analogue for fractional derivatives","year":2012,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":20,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Royal Military College of Canada; Université du Québec à Chicoutimi","funders":"","keywords":"Mathematics; Fractional calculus; Generalization; Chain rule (probability); Product (mathematics); Taylor series; Pure mathematics; Function (biology); Series (stratigraphy); Calculus (dental); Applied mathematics; Algebra over a field; Mathematical analysis; Geometry","authors":[{"name":"Richard E. Tremblay","is_ca":true},{"name":"Sébastien Gaboury","is_ca":true},{"name":"B.-J. Fugère","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01974906676704264,"gpt":0.2815478801636921,"spread":0.2617988133966495,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002529787,0.0004013188,0.0006780621,0.00215792,0.001001543,0.002561357,0.001179513,0.0009928576,0.00459375],"category_scores_gemma":[0.004983151,0.0002059514,0.0009254902,0.001289545,0.003440191,0.00514532,0.001314321,0.002074693,0.001017371],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009629104,"about_ca_system_score_gemma":0.0005112236,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004803881,"about_ca_topic_score_gemma":0.0004349449,"domain_scores_codex":[0.9983833,0.0002365284,0.0001344526,0.000251198,0.0008746046,0.0001198661],"domain_scores_gemma":[0.9982511,0.0005570797,0.0001932818,0.0003535189,0.0005209294,0.0001240194],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000007624692,0.00001193016,0.0001227867,0.00002320044,0.000004460798,0.0001568322,0.00009589639,0.0008363945,0.001283958,0.9890662,0.0007741757,0.007616549],"study_design_scores_gemma":[0.000007010517,0.00001684763,0.0002258403,0.00001838989,0.000006468179,0.0005056598,0.00003726666,0.01115882,0.001780713,0.9771957,0.009030012,0.00001703168],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1542794,0.005224982,0.6883221,0.002270549,0.001514462,0.0000976567,0.0002041869,0.0003639529,0.1477227],"genre_scores_gemma":[0.8227091,0.003242566,0.13378,0.0006934663,0.001710626,0.00007730308,0.0001592454,0.0002060688,0.03742162],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00459375,"threshold_uncertainty_score":0.01536769,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2008887716","doi":"10.1080/10652469.2010.483899","title":"Some inequalities and monotonicity properties associated with the gamma and psi functions and the Barnes <i>G</i> -function","year":2010,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"Education Department of Henan Province","keywords":"Monotonic function; Mathematics; Gamma function; Function (biology); Inequality; Pure mathematics; Applied mathematics; Calculus (dental); Mathematical analysis","authors":[{"name":"Chao-Ping Chen","is_ca":false},{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03649263921539616,"gpt":0.2489099460648732,"spread":0.212417306849477,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002729174,0.0008991354,0.0005655694,0.001657252,0.0008437086,0.001483429,0.00106631,0.0008715359,0.004370544],"category_scores_gemma":[0.01060692,0.0002874378,0.0009306406,0.001445994,0.002960023,0.005667326,0.001203472,0.003626169,0.0005509873],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009751906,"about_ca_system_score_gemma":0.0005783599,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008147063,"about_ca_topic_score_gemma":0.0005802595,"domain_scores_codex":[0.9989317,0.0004013035,0.00007461152,0.0001571558,0.0002726041,0.0001625405],"domain_scores_gemma":[0.9948472,0.003328864,0.0006598564,0.0002995078,0.0006338443,0.0002306977],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006610965,0.00003170476,0.0008894104,0.0002111705,0.00001900933,0.0002952601,0.0003059037,0.002301844,0.00377386,0.9640242,0.00219086,0.02589066],"study_design_scores_gemma":[0.00001177876,0.00007679045,0.001708806,0.0001003548,0.00002825078,0.0006943115,0.0002040665,0.02217673,0.003370477,0.9632766,0.008315699,0.00003611239],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1881755,0.009921593,0.641107,0.004970492,0.0006040136,0.0001060156,0.0005910241,0.0001824032,0.154342],"genre_scores_gemma":[0.8416058,0.007752906,0.1349418,0.001392398,0.001646249,0.0002367003,0.000685421,0.000222824,0.01151583],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004370544,"threshold_uncertainty_score":0.0146209,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3181323051","doi":"10.1080/10652469.2021.1919103","title":"Symbolic computations via Fourier–Legendre expansions and fractional operators","year":2021,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"York University","funders":"","keywords":"Mathematics; Legendre polynomials; Legendre function; Hypergeometric function; Integer (computer science); Fourier transform; Hermite polynomials; Transformation (genetics); Series (stratigraphy); Generalized hypergeometric function; Pure mathematics; Legendre transformation; Applied mathematics; Algebra over a field; Mathematical analysis","authors":[{"name":"John M. Campbell","is_ca":true},{"name":"Marco Cantarini","is_ca":false},{"name":"Jacopo D’Aurizio","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03172703377284636,"gpt":0.2989702644252747,"spread":0.2672432306524283,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008992819,0.0007872251,0.0007089647,0.002063638,0.001073027,0.002318685,0.0009718108,0.0008912931,0.008313569],"category_scores_gemma":[0.004019606,0.0002662557,0.0006834177,0.001420547,0.002071197,0.003530517,0.00110008,0.001227829,0.001166617],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001072299,"about_ca_system_score_gemma":0.0006099868,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009613612,"about_ca_topic_score_gemma":0.001335454,"domain_scores_codex":[0.9995694,0.0001271547,0.00002066102,0.0000305284,0.0001830143,0.00006935649],"domain_scores_gemma":[0.9994389,0.0002798081,0.00005996989,0.00009942937,0.00007712325,0.00004476916],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002193965,0.0000241867,0.00009576905,0.00004225777,0.000006066862,0.00009329433,0.0001450903,0.008438813,0.001020924,0.9784626,0.0008197317,0.01082941],"study_design_scores_gemma":[0.00001600598,0.00001316107,0.00009192303,0.00003306292,0.000006422806,0.00006556662,0.00007495445,0.1134375,0.001374947,0.8814478,0.003421841,0.00001678448],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2622094,0.001711812,0.6045156,0.00189771,0.0006400035,0.00006195993,0.0001504851,0.0009106803,0.1279024],"genre_scores_gemma":[0.8551995,0.001222667,0.1246941,0.0004114496,0.0003921129,0.00009046913,0.0001569696,0.0004577257,0.01737504],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008313569,"threshold_uncertainty_score":0.02781165,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1982755271","doi":"10.1080/10652469.2010.538525","title":"Inequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler–Mascheroni constant","year":2011,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Monotonic function; Digamma function; Mathematics; Constant (computer programming); Euler's formula; Function (biology); Gamma function; Pure mathematics; Constant function; Applied mathematics; Mathematical analysis; Computer science; Riemann zeta function; Piecewise","authors":[{"name":"Chao-Ping Chen","is_ca":false},{"name":"H. M. Srivastava","is_ca":true},{"name":"Li Li","is_ca":false},{"name":"Seiichi Manyama","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.196933542690535,"gpt":0.3146341985793081,"spread":0.1177006558887731,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003728679,0.001459041,0.0007645695,0.003016912,0.0008072298,0.001466859,0.001221408,0.001097956,0.009893149],"category_scores_gemma":[0.009915616,0.0003953293,0.001541909,0.001632497,0.003202476,0.006482625,0.001852939,0.004501302,0.001534944],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001081933,"about_ca_system_score_gemma":0.0006469739,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008283009,"about_ca_topic_score_gemma":0.0007409659,"domain_scores_codex":[0.9989542,0.0003074965,0.00007435258,0.0001929696,0.0003258877,0.0001451033],"domain_scores_gemma":[0.9944919,0.003216112,0.0006455855,0.0004832248,0.0008573767,0.000305776],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002541353,0.00002234135,0.0005052013,0.0001534085,0.00001560889,0.0001625268,0.0002123401,0.001873222,0.005501266,0.9725414,0.001851707,0.01713547],"study_design_scores_gemma":[0.000008723092,0.00008107389,0.00193622,0.0000910138,0.00003877911,0.0008292262,0.0001362302,0.03670813,0.005680221,0.9387516,0.01569312,0.00004571632],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06648813,0.007172768,0.7718318,0.003633223,0.000496754,0.00008016117,0.0004713846,0.0002213427,0.1496045],"genre_scores_gemma":[0.7357153,0.01119983,0.2119157,0.001764878,0.002579052,0.0003645381,0.0007959465,0.0003567115,0.03530809],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009893149,"threshold_uncertainty_score":0.0330959,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2160794625","doi":"10.1080/10652460902867791","title":"Fractional integrals in the matrix-variate cases and connection to statistical distributions","year":2009,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"Department of Science and Technology, Ministry of Science and Technology, India","keywords":"Mathematics; Random variate; Scalar (mathematics); Connection (principal bundle); Random matrix; Probability theory; Multiple integral; Matrix (chemical analysis); Pure mathematics; Riemann integral; Fractional calculus; Random variable; Mathematical analysis; Applied mathematics; Operator theory; Fourier integral operator; Statistics","authors":[{"name":"A. M. Mathai","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04936139589528858,"gpt":0.3469510212401581,"spread":0.2975896253448695,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00186635,0.0005143741,0.0006653814,0.001997557,0.0009880253,0.002295024,0.0008847948,0.001454228,0.002201837],"category_scores_gemma":[0.006882444,0.0002668145,0.0009600858,0.001125845,0.003212649,0.005049063,0.001318149,0.001694318,0.0002304588],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001049082,"about_ca_system_score_gemma":0.000616921,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008048214,"about_ca_topic_score_gemma":0.0003264395,"domain_scores_codex":[0.9990245,0.0002976191,0.00005083836,0.0001372303,0.000356341,0.0001334996],"domain_scores_gemma":[0.9979427,0.001146564,0.0002908246,0.0002032807,0.0002629466,0.0001536524],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00000459412,0.000006869644,0.00009517826,0.00001119568,0.00000317956,0.00009111451,0.00006549971,0.003187692,0.0003859053,0.9941236,0.0001140025,0.001911041],"study_design_scores_gemma":[0.000003625501,0.000008158779,0.000151885,0.000008941424,0.000003226335,0.0001471781,0.00003861626,0.04267316,0.0002521987,0.9556669,0.001037057,0.000008986141],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2051323,0.004249561,0.7264276,0.002593972,0.0003286626,0.00004577014,0.00008127878,0.0001493854,0.06099151],"genre_scores_gemma":[0.9530799,0.002226151,0.03624317,0.0002531924,0.0005544186,0.0000468237,0.00003926095,0.00004550053,0.007511545],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002295024,"threshold_uncertainty_score":0.00987035,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2068652761","doi":"10.1080/10652469.2012.665910","title":"Taylor-like expansion in terms of a rational function obtained by means of fractional derivatives","year":2012,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Royal Military College of Canada; Université du Québec à Chicoutimi","funders":"","keywords":"Mathematics; Taylor series; Power series; Rational function; Function (biology); Fractional calculus; Series (stratigraphy); Analytic function; Generalization; Mathematical analysis; Series expansion; Combinatorics; Pure mathematics","authors":[{"name":"Richard E. Tremblay","is_ca":true},{"name":"Sébastien Gaboury","is_ca":true},{"name":"B.-J. Fugère","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03227338012359474,"gpt":0.285171054311894,"spread":0.2528976741882992,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009461142,0.0007908421,0.0008137235,0.001359511,0.0005061984,0.001146491,0.0008588163,0.0005707524,0.004594444],"category_scores_gemma":[0.002629227,0.0002146222,0.0007926222,0.0009826795,0.001532721,0.001778609,0.0008170514,0.001516458,0.0008496196],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000922744,"about_ca_system_score_gemma":0.0004399805,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008736948,"about_ca_topic_score_gemma":0.0007133873,"domain_scores_codex":[0.9997162,0.0000727216,0.00001106135,0.00003044893,0.0001305598,0.00003890087],"domain_scores_gemma":[0.9995582,0.0001771004,0.00005183265,0.00005179549,0.0001226182,0.00003847316],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000100833,0.0000578225,0.0005740038,0.0002014564,0.00003046863,0.0008598905,0.0006250995,0.02827984,0.01750884,0.9220241,0.002867533,0.0268702],"study_design_scores_gemma":[0.00002584551,0.0001022985,0.001029629,0.000110854,0.0000454428,0.001018299,0.0001932115,0.4906881,0.009954495,0.4733733,0.02340852,0.00005005893],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1894009,0.004264343,0.6997434,0.001251361,0.0009894895,0.00006820641,0.0001074902,0.000574226,0.1036005],"genre_scores_gemma":[0.8791242,0.002787536,0.08938424,0.000269778,0.0005745937,0.0000621097,0.00009805523,0.0003585842,0.02734093],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004594444,"threshold_uncertainty_score":0.01536995,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2117973273","doi":"10.1080/10652460500422486","title":"A new series expansion for integral powers of arctangent","year":2006,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Ducks Unlimited Canada","funders":"","keywords":"Inverse trigonometric functions; Mathematics; Series (stratigraphy); Series expansion; Taylor series; Trigonometric functions; Mathematical analysis; Function (biology); Power series; Pure mathematics; Geometry","authors":[{"name":"Michael Milgram","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02768529758049805,"gpt":0.2766695988939219,"spread":0.2489843013134238,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006276767,0.001062619,0.0007881848,0.001794932,0.0005468329,0.001439285,0.001112135,0.0006703339,0.008869451],"category_scores_gemma":[0.002673578,0.000302492,0.0008343704,0.001550311,0.00114754,0.003430054,0.0007522775,0.002229546,0.003135639],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005841575,"about_ca_system_score_gemma":0.0003915741,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002488816,"about_ca_topic_score_gemma":0.0003980778,"domain_scores_codex":[0.9997022,0.00005424576,0.00001891629,0.00005824484,0.0001385408,0.00002772289],"domain_scores_gemma":[0.9995315,0.0001518758,0.00004756295,0.00007478936,0.0001486594,0.00004561008],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003137541,0.00003692804,0.000196032,0.0002068093,0.00001551426,0.0004296509,0.000252237,0.007333785,0.01556921,0.9147837,0.006976786,0.05416805],"study_design_scores_gemma":[0.00001754325,0.00006182205,0.0003297155,0.0001132418,0.00003620953,0.002081399,0.0001217914,0.2100921,0.01277985,0.7114964,0.06279633,0.00007364214],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02326082,0.00228091,0.8950757,0.0006162324,0.001975999,0.0000603295,0.0001202625,0.0006693332,0.07594043],"genre_scores_gemma":[0.4689393,0.008418156,0.4190569,0.001142761,0.003469047,0.0002412216,0.00052754,0.002059154,0.09614599],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008869451,"threshold_uncertainty_score":0.02967125,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2123713498","doi":"10.1080/10652460701210276","title":"A note on Bernoulli identities associated with the Weierstrass ℘-function","year":2007,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bernoulli's principle; Bernoulli number; Mathematics; Bernoulli process; Bernoulli polynomials; Function (biology); Euler's formula; Order (exchange); Bernoulli scheme; Pure mathematics; Mathematical analysis; Orthogonal polynomials; Difference polynomials","authors":[{"name":"Chung-Hau Chang","is_ca":false},{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0261876219554661,"gpt":0.2860893622577035,"spread":0.2599017403022374,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002333737,0.0006049082,0.0007452499,0.00213603,0.00260748,0.002010276,0.0009691969,0.001216796,0.003787681],"category_scores_gemma":[0.00420289,0.0004665387,0.000800529,0.001352855,0.00451229,0.003990387,0.002160426,0.003448115,0.001009642],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000970508,"about_ca_system_score_gemma":0.0008094168,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007047108,"about_ca_topic_score_gemma":0.0005803884,"domain_scores_codex":[0.9989815,0.0002799055,0.00005473674,0.000109742,0.0004543155,0.0001196801],"domain_scores_gemma":[0.9984317,0.000795197,0.000220838,0.0002000478,0.0002175476,0.0001346798],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.000003532751,0.000003294705,0.00009912359,0.00001182764,0.00000122421,0.00007059427,0.000111874,0.0002492333,0.0003331146,0.995992,0.0005607145,0.002563499],"study_design_scores_gemma":[0.000002630273,0.00001231739,0.0001905754,0.00001740254,0.000003922012,0.0002394446,0.00003528259,0.003457947,0.0007559758,0.9877676,0.007501908,0.00001494657],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.2119186,0.0114967,0.3917087,0.007331057,0.002899047,0.00005707143,0.0001633868,0.0003082432,0.3741172],"genre_scores_gemma":[0.8496571,0.007866536,0.09346552,0.001417041,0.002814886,0.00007952459,0.00009656637,0.0001932351,0.04440972],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003787681,"threshold_uncertainty_score":0.01267099,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1987822091","doi":"10.1080/10652469.2011.611331","title":"A class of logarithmically completely monotonic functions related to the gamma function with applications","year":2011,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Monotonic function; Gamma function; Bounding overwatch; Class (philosophy); Function (biology)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.06414233718931323,"gpt":0.2753081842237573,"spread":0.2111658470344441,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001526263,0.001023912,0.000605526,0.001756821,0.0007532455,0.001773812,0.0009578016,0.0008519771,0.002906273],"category_scores_gemma":[0.008494487,0.00032161,0.000693973,0.001362192,0.002108966,0.002532607,0.001201581,0.002371511,0.000460092],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001059152,"about_ca_system_score_gemma":0.0009363546,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000883072,"about_ca_topic_score_gemma":0.0003795792,"domain_scores_codex":[0.9992862,0.000202667,0.00003166638,0.0001438656,0.0002219547,0.0001136429],"domain_scores_gemma":[0.9971151,0.001617981,0.0003776349,0.0001636828,0.0005304496,0.0001950208],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001416738,0.00003803836,0.001007933,0.0001859326,0.00002667066,0.0005033441,0.0002429994,0.01735545,0.01105802,0.9279011,0.001759835,0.03977896],"study_design_scores_gemma":[0.00004225474,0.0001562103,0.001561043,0.0001020821,0.00004869673,0.001794676,0.000199811,0.2019073,0.008901294,0.7673927,0.01782914,0.0000648736],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1688745,0.005479573,0.7622661,0.001215558,0.0001991333,0.00008581248,0.0001784102,0.0003536544,0.0613473],"genre_scores_gemma":[0.8858062,0.00375503,0.09657429,0.000563128,0.0005169017,0.0001939163,0.0002360136,0.0001482582,0.01220625],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002906273,"threshold_uncertainty_score":0.009722412,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2152363041","doi":"10.1080/10652469.2011.640327","title":"Bernstein, Pick, Poisson and related integral expressions for Lambert <i>W</i>","year":2011,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Sports Dynamics and Biomechanics","field":"Engineering","cited_by":12,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Lambert W function; Poisson distribution; Riemann–Stieltjes integral; Mathematical analysis; Pure mathematics; Integral equation; Statistics","authors":[{"name":"G. A. Kalugin","is_ca":true},{"name":"David J. Jeffrey","is_ca":true},{"name":"Robert M. Corless","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01224793314504983,"gpt":0.1873235508667728,"spread":0.175075617721723,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002516446,0.001205082,0.000833596,0.004021099,0.001324707,0.002326244,0.00168391,0.001690527,0.008954443],"category_scores_gemma":[0.007405148,0.0005027398,0.001230425,0.00288181,0.00261232,0.005355947,0.001595869,0.002832689,0.002629361],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001461296,"about_ca_system_score_gemma":0.0007011984,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001695069,"about_ca_topic_score_gemma":0.001432824,"domain_scores_codex":[0.9992612,0.0001332786,0.00004997656,0.0001105792,0.0003402028,0.0001046375],"domain_scores_gemma":[0.9987156,0.0005183877,0.0001695979,0.0001449084,0.0003264606,0.0001249997],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001777861,0.00001952395,0.0001711724,0.00007270776,0.000009361532,0.0001391403,0.0001930261,0.002308191,0.001973134,0.9730497,0.003030686,0.01901558],"study_design_scores_gemma":[0.000006946336,0.0000190405,0.0004181958,0.00006717751,0.00002189907,0.001098034,0.0001550208,0.05136351,0.003587587,0.9251667,0.01802819,0.00006758361],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03168912,0.007648237,0.8397856,0.001523172,0.0007360728,0.00006749326,0.0001742264,0.0005783737,0.1177977],"genre_scores_gemma":[0.5405441,0.01260329,0.3199435,0.001625288,0.001301021,0.0002063889,0.0004004228,0.001859515,0.1215165],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008954443,"threshold_uncertainty_score":0.02995557,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2109522196","doi":"10.1080/10652460108819348","title":"A certain class of series associated with the zeta function","year":2001,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"Dongguk University","keywords":"Series (stratigraphy); Mathematics; Riemann zeta function; Class (philosophy); Function (biology); Computation; Applied mathematics; Calculus (dental); Gamma function; Pure mathematics; Algebra over a field; Algorithm; Computer science; Artificial intelligence","authors":[{"name":"Junesang Choi","is_ca":false},{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03193394641827376,"gpt":0.256877799929081,"spread":0.2249438535108072,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007552404,0.001149099,0.0007041634,0.003015025,0.00183747,0.00446968,0.0008861556,0.001497407,0.007792074],"category_scores_gemma":[0.005620252,0.000275759,0.00107927,0.001918022,0.002043016,0.003844322,0.001352283,0.001902137,0.001659573],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008891968,"about_ca_system_score_gemma":0.0005942287,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002510072,"about_ca_topic_score_gemma":0.0002107383,"domain_scores_codex":[0.9995071,0.00008955507,0.00002860851,0.00009268061,0.0001805086,0.0001015809],"domain_scores_gemma":[0.9988311,0.000349115,0.0002082116,0.0001432067,0.0002413912,0.0002269645],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002489954,0.00002535952,0.0002725087,0.00005009687,0.000008520484,0.0003401255,0.0002742346,0.0008745881,0.002005447,0.9870961,0.001296782,0.007731286],"study_design_scores_gemma":[0.00002750309,0.0000396849,0.0003792646,0.00006304315,0.00001636898,0.001347655,0.0001495883,0.02013373,0.002156748,0.9650817,0.01057487,0.00002977542],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4085129,0.002175399,0.3556125,0.002159087,0.002368475,0.0001703629,0.0003329157,0.0008778364,0.2277906],"genre_scores_gemma":[0.9256765,0.00167581,0.02708268,0.0004565479,0.00198185,0.0001567553,0.0002937417,0.0003116156,0.04236454],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007792074,"threshold_uncertainty_score":0.02606714,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2121617265","doi":"10.1080/10652460902749437","title":"A certain convolution approach for subclasses of analytic functions with negative coefficients","year":2009,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Analytic function; Convolution (computer science); Class (philosophy); Quasi-analytic function; Subclass; Pure mathematics; Term (time); Applied mathematics; Mathematical analysis; Non-analytic smooth function; Global analytic function; Computer science","authors":[{"name":"H. M. Srivastava","is_ca":true},{"name":"Sevtap Sümer Eker","is_ca":false},{"name":"Bilal Şeker","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03073639928995369,"gpt":0.2729162278171274,"spread":0.2421798285271737,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001641394,0.0005932191,0.0005973838,0.001336413,0.001018796,0.001500067,0.0008392356,0.0007971711,0.002595348],"category_scores_gemma":[0.005130393,0.0002237092,0.001074062,0.0007210115,0.001866231,0.004261943,0.001331806,0.002111133,0.0002813868],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001502602,"about_ca_system_score_gemma":0.0008177026,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0011417,"about_ca_topic_score_gemma":0.0006404311,"domain_scores_codex":[0.9995385,0.00009079349,0.00002956631,0.00009579658,0.000145571,0.00009970002],"domain_scores_gemma":[0.9983788,0.0007280263,0.0001909416,0.0001730758,0.0003388922,0.0001903609],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000009656295,0.00001079529,0.0003811558,0.00002674649,0.000004399427,0.00009990835,0.000143988,0.00120467,0.002875087,0.9916549,0.000429862,0.003158963],"study_design_scores_gemma":[0.00001496176,0.00005770334,0.001141377,0.00004347029,0.00002855008,0.001165485,0.0001802031,0.1047482,0.005146755,0.8769174,0.01052392,0.00003211381],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.2789288,0.001951757,0.630487,0.001843758,0.0002175857,0.00005295856,0.0001198916,0.0001266115,0.08627162],"genre_scores_gemma":[0.9197474,0.001539871,0.06304592,0.0005633114,0.0004888462,0.00008038689,0.0001496705,0.0001062783,0.0142783],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.002595348,"threshold_uncertainty_score":0.01090223,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1983296600","doi":"10.1080/10652469.2014.918613","title":"Identities for generalized Euler polynomials","year":2014,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Memorial University of Newfoundland; National Science Foundation","keywords":"Mathematics; Euler's formula; Wilson polynomials; Pure mathematics; Orthogonal polynomials; Classical orthogonal polynomials; Difference polynomials; Algebra over a field; Mathematical analysis","authors":[{"name":"Lin Jiu","is_ca":false},{"name":"Victor H. Moll","is_ca":false},{"name":"Christophe Vignat","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04508736271116521,"gpt":0.312232171447332,"spread":0.2671448087361668,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001721356,0.0007104953,0.0006339267,0.002711693,0.0009356006,0.002063777,0.0008827522,0.0008957193,0.007613371],"category_scores_gemma":[0.005770975,0.0003105978,0.0008627689,0.001780508,0.002234997,0.004998562,0.001863486,0.002619717,0.002025943],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001595068,"about_ca_system_score_gemma":0.001033301,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001603794,"about_ca_topic_score_gemma":0.001221325,"domain_scores_codex":[0.998714,0.0002399627,0.00007742209,0.0002147336,0.0005579044,0.0001960492],"domain_scores_gemma":[0.99856,0.0003965335,0.0001585836,0.0002256478,0.000544427,0.0001147314],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000003135689,0.000002450602,0.00004284988,0.00001562823,0.000001626696,0.00002630543,0.0000564532,0.0003431053,0.0002619417,0.9943296,0.0009544775,0.003962388],"study_design_scores_gemma":[0.000003710386,0.000004841083,0.0001404087,0.00001859065,0.000002638437,0.0001326229,0.00003256332,0.0056486,0.0002955121,0.9832756,0.01043542,0.000009624027],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06130343,0.004310689,0.72829,0.002547535,0.001687813,0.00009474769,0.0006524001,0.0003514642,0.200762],"genre_scores_gemma":[0.7388334,0.007707363,0.1739191,0.002150332,0.00269172,0.000222969,0.0008513116,0.0004609089,0.07316291],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007613371,"threshold_uncertainty_score":0.02546924,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2128621253","doi":"10.1080/10652469.2010.535970","title":"Some limit formulas for the Gamma and Psi (or Digamma) functions at their singularities","year":2011,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Gravitational singularity; Mathematics; Digamma function; Limit (mathematics); Integer (computer science); Limit point; Complex plane; Pure mathematics; Gamma function; Function (biology); Mathematical analysis; Combinatorics; Riemann hypothesis","authors":[{"name":"Anirudh Prabhu","is_ca":false},{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1218564987423335,"gpt":0.2913389540466208,"spread":0.1694824553042873,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001384189,0.0007649984,0.0005053272,0.002715219,0.001080606,0.001926979,0.001558355,0.001080581,0.005770387],"category_scores_gemma":[0.005712853,0.0003099928,0.0007106842,0.001267563,0.001964099,0.004294565,0.001354353,0.002331919,0.001640489],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00132589,"about_ca_system_score_gemma":0.0004309618,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006981918,"about_ca_topic_score_gemma":0.0007016132,"domain_scores_codex":[0.9997354,0.00005841033,0.00002291775,0.00003966744,0.00009944748,0.00004418522],"domain_scores_gemma":[0.9992009,0.0003158226,0.00009650058,0.00007536192,0.0002015298,0.0001099756],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000154152,0.00001428572,0.0003326721,0.00004749403,0.000004460994,0.0002988376,0.0002953245,0.0010986,0.001382675,0.983907,0.001135382,0.01146782],"study_design_scores_gemma":[0.00001387926,0.0000138066,0.000325126,0.00005904006,0.00001041973,0.0007178073,0.0001539059,0.02401892,0.001716085,0.9685596,0.00438587,0.00002550414],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3718834,0.005645668,0.4182405,0.002340835,0.0005160299,0.00009259163,0.0002596532,0.0005977472,0.2004234],"genre_scores_gemma":[0.8567499,0.00356112,0.1051988,0.0006905143,0.000515863,0.000183263,0.0002151225,0.0004459115,0.03243944],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005770387,"threshold_uncertainty_score":0.01930386,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1995545739","doi":"10.1080/10652460601041094","title":"Fourth-order Bessel equation: eigenpackets and a generalized Hankel transform<sup>†</sup>","year":2006,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"University of Toronto","keywords":"Mathematics; Bessel function; Orthogonality; Pointwise; Mathematical analysis; Zero (linguistics); Pointwise convergence; Pure mathematics; Order (exchange); Connection (principal bundle); Differential equation; Hilbert transform; Struve function; Orthogonal polynomials","authors":[{"name":"W. N. Everitt","is_ca":false},{"name":"Hubert Kalf","is_ca":false},{"name":"Lance L. Littlejohn","is_ca":false},{"name":"Clemens Markett","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03370312776040379,"gpt":0.274385486963648,"spread":0.2406823592032442,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005431515,0.0003639919,0.0003066395,0.0006163897,0.0003968912,0.001039984,0.0004687294,0.0005434086,0.002410929],"category_scores_gemma":[0.0009496007,0.0001786039,0.0004296762,0.0004516978,0.001529684,0.00208936,0.0009412437,0.001025202,0.0003899905],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004151933,"about_ca_system_score_gemma":0.0003253598,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003068109,"about_ca_topic_score_gemma":0.0002431747,"domain_scores_codex":[0.9998347,0.00004292028,0.000009233751,0.00002144092,0.00006812409,0.00002357294],"domain_scores_gemma":[0.9996789,0.0001274362,0.00005113529,0.00004063926,0.00005607646,0.00004589205],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002146014,0.0000209654,0.0002147662,0.00002061601,0.000004993057,0.0001866565,0.0001266563,0.002193507,0.004171983,0.9872704,0.0006087742,0.005159252],"study_design_scores_gemma":[0.00001044925,0.00002725633,0.0005632967,0.000009467231,0.000006099251,0.0005854706,0.0001416802,0.1106589,0.004125555,0.8806244,0.003229373,0.00001800826],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5184234,0.001121468,0.4222621,0.001668672,0.0003694099,0.00003523579,0.0001150376,0.0001718188,0.05583292],"genre_scores_gemma":[0.9137654,0.0006779808,0.05218381,0.0003464224,0.0002747238,0.00004136502,0.0001033969,0.00009578534,0.03251119],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002410929,"threshold_uncertainty_score":0.008065343,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2068653027","doi":"10.1080/10652460903259915","title":"Generalizations of some classical inequalities via a special functional property","year":2009,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Property (philosophy); Inequality; Pure mathematics; Cauchy distribution; Calculus (dental); Cauchy–Schwarz inequality; Algebra over a field; Applied mathematics; Mathematical analysis; Epistemology","authors":[{"name":"Mohammad Masjed‐Jamei","is_ca":false},{"name":"Feng Qi","is_ca":false},{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.08058626062063158,"gpt":0.2981289012990887,"spread":0.2175426406784571,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00148725,0.0005329174,0.0004281792,0.001128506,0.0006323324,0.0008071601,0.0009980957,0.0007013532,0.002399753],"category_scores_gemma":[0.002545789,0.0001708381,0.00124232,0.0008924561,0.001712914,0.003491647,0.001250205,0.002248275,0.0002317315],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008210595,"about_ca_system_score_gemma":0.0005077198,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009993884,"about_ca_topic_score_gemma":0.0007407449,"domain_scores_codex":[0.9992793,0.0001583941,0.00006454872,0.0001792331,0.0002291191,0.0000894146],"domain_scores_gemma":[0.9991942,0.0002998487,0.0001259224,0.0001287851,0.000180474,0.00007079174],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004519323,0.00003291231,0.0006298954,0.0001278807,0.00003017601,0.0004571771,0.0001718522,0.007396269,0.009867279,0.9605954,0.001340375,0.01930559],"study_design_scores_gemma":[0.00003183996,0.0001167406,0.001756457,0.0000549297,0.00005205452,0.00113104,0.0001757485,0.1160406,0.006705462,0.8562557,0.0176309,0.00004840553],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1412268,0.002745013,0.7872276,0.002368919,0.0008407277,0.00006294985,0.0002284383,0.0001663036,0.06513331],"genre_scores_gemma":[0.8963452,0.002989107,0.08820318,0.001086472,0.001525269,0.00009789944,0.0003517092,0.00009837629,0.009302731],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002399753,"threshold_uncertainty_score":0.008027911,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4241668801","doi":"10.1080/10652469.2010.515055","title":"Some families of hypergeometric polynomials and associated multiple integral representations","year":2010,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Generalized hypergeometric function; Pure mathematics; Wilson polynomials; Hypergeometric function; Algebra over a field; Basic hypergeometric series; Barnes integral; Hypergeometric identity; Hypergeometric distribution; Product (mathematics); Orthogonal polynomials; Classical orthogonal polynomials; Hypergeometric function of a matrix argument","authors":[{"name":"Shy‐Der Lin","is_ca":false},{"name":"Shuoh-Jung Liu","is_ca":false},{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0313295368845515,"gpt":0.2866714958049663,"spread":0.2553419589204148,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001032829,0.0005236933,0.0005065872,0.002338229,0.001302785,0.001873703,0.0009121638,0.0008699977,0.005134644],"category_scores_gemma":[0.003020928,0.0002904371,0.0008842857,0.001531975,0.001721807,0.003332298,0.001160829,0.001581187,0.0005824227],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001028366,"about_ca_system_score_gemma":0.0005149915,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004967419,"about_ca_topic_score_gemma":0.0002905143,"domain_scores_codex":[0.9993533,0.0001853275,0.00002643869,0.0001021994,0.0002202971,0.0001124486],"domain_scores_gemma":[0.9989502,0.0003740756,0.000230347,0.00009355842,0.0002143872,0.0001375784],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001841307,0.00001584878,0.0003061943,0.00004187864,0.00001051982,0.0003498017,0.0002843809,0.002905288,0.001504266,0.9868264,0.0008210207,0.00691591],"study_design_scores_gemma":[0.00001790039,0.00003561199,0.0004448475,0.00003343762,0.00001764289,0.001066114,0.0003491008,0.05134213,0.001555789,0.939889,0.005215841,0.00003254373],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5137844,0.002943075,0.3956587,0.0023454,0.000222112,0.00007934654,0.0002730168,0.0002904367,0.08440346],"genre_scores_gemma":[0.9591613,0.002203255,0.0243438,0.0002692867,0.0003971618,0.00008418518,0.0002021922,0.00007401306,0.01326484],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005134644,"threshold_uncertainty_score":0.0171771,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2110674656","doi":"10.1080/10652460701366169","title":"Several results on the commutative neutrix product of distributions","year":2007,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical and Theoretical Analysis","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Brandon University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Commutative property; Product (mathematics); Heaviside step function; Differentiable function; Distribution (mathematics); Combinatorics; Discrete mathematics; Pure mathematics; Mathematical analysis; Geometry","authors":[{"name":"C. K. Li","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03602032760930624,"gpt":0.2951337167258539,"spread":0.2591133891165476,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001493078,0.0003536676,0.0003781389,0.001935482,0.0006761018,0.001479887,0.0005202422,0.000282658,0.006512292],"category_scores_gemma":[0.002281663,0.0001468492,0.0004837822,0.001249201,0.001619852,0.002345928,0.001012407,0.0005256332,0.0003527169],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000956272,"about_ca_system_score_gemma":0.0003556596,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005727584,"about_ca_topic_score_gemma":0.0004076522,"domain_scores_codex":[0.9994294,0.00008824677,0.00003587591,0.00009230014,0.0002979991,0.00005617867],"domain_scores_gemma":[0.9987695,0.0004435494,0.0001659887,0.00009528033,0.0003403186,0.0001853922],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006835923,0.00002716768,0.001990771,0.00009440855,0.00002158857,0.00032638,0.0003369345,0.004903632,0.004745318,0.9669092,0.0005559605,0.02002019],"study_design_scores_gemma":[0.00001251618,0.0001518917,0.005848264,0.00004130126,0.0000296873,0.001516128,0.0003888978,0.05299875,0.01218711,0.9166722,0.01011037,0.00004282978],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6523784,0.002657497,0.2707608,0.0003181123,0.0001508711,0.00003734045,0.0001813535,0.0001412897,0.07337438],"genre_scores_gemma":[0.9684343,0.0006328156,0.02520812,0.00005090593,0.0001015689,0.00001582947,0.0001377691,0.00003210505,0.005386482],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006512292,"threshold_uncertainty_score":0.02178574,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2157584435","doi":"10.1080/10652469.2012.672323","title":"A new transformation formula for fractional derivatives with applications","year":2012,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Royal Military College of Canada; Université du Québec à Chicoutimi","funders":"","keywords":"Mathematics; Laurent series; Fractional calculus; Special functions; Algebra over a field; Taylor series; Transformation (genetics); Chain rule (probability); Calculus (dental); Orthogonal polynomials; Pure mathematics; Applied mathematics; Mathematical analysis","authors":[{"name":"Richard E. Tremblay","is_ca":true},{"name":"Sébastien Gaboury","is_ca":true},{"name":"B.-J. Fugère","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01271517780942802,"gpt":0.2662768273674102,"spread":0.2535616495579822,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006683574,0.0004678879,0.0005827342,0.001645725,0.0008414977,0.001357783,0.0007270063,0.0009087118,0.005648753],"category_scores_gemma":[0.001899178,0.0001915531,0.0007185483,0.00148663,0.001411416,0.002961422,0.001009095,0.001790554,0.001312907],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006965884,"about_ca_system_score_gemma":0.0005245078,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004316819,"about_ca_topic_score_gemma":0.0003887528,"domain_scores_codex":[0.9996927,0.00006597427,0.00002197112,0.00004591098,0.0001381711,0.00003545548],"domain_scores_gemma":[0.9997061,0.00007941624,0.00003466208,0.00004198678,0.0001070752,0.00003074966],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000007818661,0.00001296624,0.00007667234,0.00003077583,0.000002557573,0.0001425173,0.0001183816,0.0008418934,0.002990163,0.976345,0.001587796,0.01784351],"study_design_scores_gemma":[0.00001021135,0.00002737038,0.0001696353,0.00002589918,0.000009955547,0.0007394681,0.00006694566,0.03201815,0.002275606,0.9299051,0.03473071,0.00002097547],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.06616986,0.004801957,0.7886789,0.002546274,0.002008089,0.0001154159,0.0001911146,0.0004922126,0.134996],"genre_scores_gemma":[0.6547495,0.005556004,0.2627235,0.001644437,0.00245392,0.0001577707,0.0002424139,0.0005365725,0.07193588],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.005648753,"threshold_uncertainty_score":0.018897,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2170781640","doi":"10.1080/10652460500105370","title":"Some mixed multilateral generating relations involving hypergeometric functions","year":2005,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"National Science Council","keywords":"Mathematics; Algebra over a field; Hypergeometric function; Pure mathematics; Lie theory; Adjoint representation of a Lie algebra; Lie conformal algebra","authors":[{"name":"Shy‐Der Lin","is_ca":false},{"name":"H. M. Srivastava","is_ca":true},{"name":"Pin-Yu Wang","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04086052098724466,"gpt":0.2751722779873236,"spread":0.2343117570000789,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001044838,0.0004342402,0.0003347697,0.001685824,0.0009731691,0.001488631,0.0005772524,0.0005457253,0.005311036],"category_scores_gemma":[0.002433022,0.0002498373,0.0006063256,0.001001757,0.001278558,0.001956104,0.001055728,0.001328235,0.0007913071],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007399586,"about_ca_system_score_gemma":0.0003721162,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003250693,"about_ca_topic_score_gemma":0.0003247048,"domain_scores_codex":[0.9995369,0.0001289861,0.00001988729,0.00007209781,0.0001522709,0.00008986882],"domain_scores_gemma":[0.999286,0.0002641776,0.000144439,0.00007953511,0.0001312301,0.00009450947],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000008346999,0.000006287069,0.0001669217,0.00001191699,0.000002409504,0.0001025546,0.0001132114,0.0004939706,0.0009270168,0.99305,0.0004435352,0.004673827],"study_design_scores_gemma":[0.00001483334,0.00002091186,0.0003334208,0.00001317705,0.000007702536,0.0004730236,0.0001031288,0.01494242,0.002070994,0.9773608,0.004642049,0.0000175396],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6050989,0.001070504,0.2517148,0.001143379,0.0001914363,0.00009083392,0.0003044635,0.0003253257,0.1400604],"genre_scores_gemma":[0.9617299,0.0004845235,0.02431145,0.0001661609,0.0001963624,0.0000806278,0.0001593492,0.00008699423,0.01278465],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005311036,"threshold_uncertainty_score":0.01776719,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2150823516","doi":"10.1080/10652469.2014.924114","title":"Master theorems for a family of integrals","year":2014,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Ducks Unlimited Canada","funders":"","keywords":"Reciprocal; Special functions; Series (stratigraphy); Analytic function; Algebra over a field; Calculus (dental)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.0623584966693535,"gpt":0.2947109988161273,"spread":0.2323525021467738,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003580071,0.0008215252,0.0009538584,0.002732162,0.001348671,0.002884897,0.001410974,0.001396968,0.009073587],"category_scores_gemma":[0.009682746,0.0004343716,0.002016229,0.00129207,0.002960603,0.007823244,0.001879051,0.003142377,0.00145378],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002085018,"about_ca_system_score_gemma":0.0009268228,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005413156,"about_ca_topic_score_gemma":0.000297014,"domain_scores_codex":[0.9989728,0.0002031041,0.00006931139,0.0001779099,0.0004161003,0.000160876],"domain_scores_gemma":[0.997413,0.001329179,0.0002313229,0.0004457967,0.0004248217,0.0001558502],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000004200911,0.000005133564,0.00005180555,0.00001195629,0.000002677213,0.00002432153,0.00005639927,0.0006020617,0.0002494012,0.9965252,0.000555811,0.001910976],"study_design_scores_gemma":[0.000006514993,0.000008441118,0.00008036658,0.00001507787,0.000003650682,0.0001233069,0.00002329783,0.01463942,0.0004389953,0.9817869,0.00286622,0.000007827781],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1318783,0.002335831,0.6897809,0.002845159,0.0004262936,0.0001326287,0.0004319461,0.0005818835,0.171587],"genre_scores_gemma":[0.7846928,0.003009269,0.1471426,0.0009871434,0.00121515,0.0003620932,0.0006046123,0.0006433034,0.06134301],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.009073587,"threshold_uncertainty_score":0.03035414,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1992923636","doi":"10.1080/10652460902992292","title":"A formula for the norm of an averaging operator on weighted Lebesgue space","year":2009,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Differential Equations and Boundary Problems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Lp space; Lebesgue integration; Operator norm; Norm (philosophy); Bounded function; Pure mathematics; Operator (biology); Standard probability space; Class (philosophy); Finite-rank operator; Bounded operator; Multiplication operator; Operator theory; Discrete mathematics; Mathematical analysis; Hilbert space; Banach space","authors":[{"name":"M. Dziri","is_ca":false},{"name":"Gord Sinnamon","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03797333505979446,"gpt":0.2965300299416999,"spread":0.2585566948819054,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001897026,0.0007096701,0.0006416772,0.001970859,0.0008088359,0.00160577,0.001130133,0.001146104,0.002758624],"category_scores_gemma":[0.006436687,0.0002393343,0.0005629011,0.0009593341,0.002264221,0.004247006,0.001296176,0.001587188,0.0005130299],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007686133,"about_ca_system_score_gemma":0.0004319808,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003619289,"about_ca_topic_score_gemma":0.0003440252,"domain_scores_codex":[0.9994457,0.0001411689,0.00003691493,0.0001076306,0.0002171545,0.00005137243],"domain_scores_gemma":[0.9983084,0.0006924304,0.0001781535,0.0001228214,0.0005116983,0.0001864068],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001656723,0.00001510136,0.0003587288,0.00006633202,0.00001126379,0.0001095959,0.0002518091,0.003920611,0.00564807,0.9788805,0.0006638305,0.0100577],"study_design_scores_gemma":[0.0000054318,0.00005424861,0.0004564979,0.00004590818,0.00001530311,0.0004987058,0.0001693342,0.1226553,0.002618063,0.8687783,0.004665219,0.0000377156],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.09951887,0.001060314,0.8845616,0.0005946466,0.0003913569,0.00004411023,0.0001014673,0.0001356895,0.01359194],"genre_scores_gemma":[0.739286,0.002105974,0.2406711,0.0002922856,0.0007526986,0.0002896517,0.0003234552,0.0002823559,0.01599652],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.002758624,"threshold_uncertainty_score":0.01003253,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2020053886","doi":"10.1080/10652469.2012.656919","title":"Summation identities involving certain classes of polynomials","year":2012,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Classical orthogonal polynomials; Wilson polynomials; Orthogonal polynomials; Difference polynomials; Jacobi polynomials; Discrete orthogonal polynomials; Laguerre polynomials; Hahn polynomials; Gegenbauer polynomials; Pure mathematics; Hermite polynomials; Macdonald polynomials; Algebra over a field; Hypergeometric function","authors":[{"name":"Shuoh-Jung Liu","is_ca":false},{"name":"Shy‐Der Lin","is_ca":false},{"name":"Kung-Yu Chen","is_ca":false},{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05745949936945847,"gpt":0.3076250291846924,"spread":0.2501655298152339,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002469097,0.0006210944,0.0008244397,0.00219514,0.001751065,0.002019999,0.001247582,0.0009598333,0.004352082],"category_scores_gemma":[0.004418393,0.0003120447,0.001379643,0.002078701,0.002137335,0.005359469,0.001779368,0.002834509,0.001043628],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001250186,"about_ca_system_score_gemma":0.001078248,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008521387,"about_ca_topic_score_gemma":0.0007992721,"domain_scores_codex":[0.9986452,0.000215445,0.0000923993,0.0001717522,0.0006580952,0.00021713],"domain_scores_gemma":[0.9987146,0.0004743314,0.0001650623,0.0001573589,0.0003536211,0.0001351613],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000003522953,0.000007573884,0.00008068923,0.00001930771,0.00000342098,0.00008810372,0.0001158409,0.0003591491,0.0008842809,0.9948467,0.0005044775,0.003086882],"study_design_scores_gemma":[0.000004850502,0.00001058237,0.0002393835,0.00001364701,0.000006403133,0.0003880642,0.00004116114,0.0162436,0.001198895,0.976944,0.004894855,0.00001453153],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1723897,0.003287899,0.6126832,0.001703326,0.0009472852,0.0001028347,0.0002544628,0.0002298661,0.2084015],"genre_scores_gemma":[0.8238549,0.004960647,0.12615,0.001126307,0.001687854,0.0001708075,0.0004416226,0.0002389819,0.04136882],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004352082,"threshold_uncertainty_score":0.01455921,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2007068298","doi":"10.1080/10652460802396008","title":"A functional expansion for analytic functions and its subclasses","year":2008,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Kronecker delta; Sequence (biology); Taylor series; Analytic function; Trigonometric functions; Fourier series; Series expansion; Set (abstract data type); Polynomial; Set function; Analytic continuation; Basis function; Trigonometric polynomial; Pure mathematics; Taylor's theorem; Function (biology); Mathematical analysis; Trigonometry","authors":[{"name":"Mohammad Masjed‐Jamei","is_ca":false},{"name":"Mehdi Dehghan","is_ca":false},{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06979607885004438,"gpt":0.2812015868128518,"spread":0.2114055079628074,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001221084,0.0004688791,0.0005412457,0.001628885,0.0005587392,0.0009299939,0.0005637226,0.0005205317,0.002165597],"category_scores_gemma":[0.002262502,0.0001556789,0.0005030835,0.0007162935,0.001514551,0.00300791,0.0007857269,0.001292303,0.0003873343],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006547097,"about_ca_system_score_gemma":0.00030375,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005723194,"about_ca_topic_score_gemma":0.0003660959,"domain_scores_codex":[0.9996194,0.00009391287,0.00002251696,0.00006549101,0.0001537392,0.00004500247],"domain_scores_gemma":[0.9993517,0.0002761478,0.00006270994,0.00008451624,0.0001632969,0.00006160732],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000004114256,0.000005371613,0.0000717369,0.00001444812,0.000001812386,0.00003037844,0.00006897962,0.001183338,0.0009901618,0.9937198,0.0004330321,0.003476902],"study_design_scores_gemma":[0.000005517785,0.00001853074,0.0002639689,0.00002711047,0.000004821849,0.0001690462,0.00007407596,0.06818122,0.0007478032,0.9230393,0.007456093,0.00001262168],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1782071,0.002207163,0.7421727,0.001609741,0.0002457786,0.00004443984,0.000249489,0.0002488527,0.0750147],"genre_scores_gemma":[0.8246468,0.00255152,0.1493417,0.0005709081,0.0007155645,0.0001442667,0.0004066116,0.0002478638,0.02137465],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002165597,"threshold_uncertainty_score":0.007244587,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4391427489","doi":"10.1080/10652469.2024.2309203","title":"On a higher-order version of a formula due to Ramanujan","year":2024,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Ramanujan's sum; Mathematics; Order (exchange); Ramanujan theta function; Pure mathematics; Algebra over a field; Calculus (dental); Combinatorics","authors":[{"name":"John M. Campbell","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02670436983587083,"gpt":0.3042353179307934,"spread":0.2775309480949226,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008240243,0.0005141748,0.0004934992,0.001630453,0.001330242,0.00194396,0.0008071539,0.0006625951,0.006181693],"category_scores_gemma":[0.002286484,0.0002021192,0.0006802529,0.001356883,0.002865794,0.003503004,0.001399213,0.002721694,0.001532039],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001125187,"about_ca_system_score_gemma":0.0006331227,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001186893,"about_ca_topic_score_gemma":0.0009898461,"domain_scores_codex":[0.9994875,0.000100306,0.00002384783,0.00008395955,0.0002261624,0.00007826123],"domain_scores_gemma":[0.9995851,0.0001396571,0.00004314547,0.00007388485,0.0001129675,0.0000452413],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000009828002,0.000009006288,0.00008710005,0.00002000274,0.000002091716,0.00008931672,0.0001756993,0.0002667438,0.0009094255,0.9905923,0.001239255,0.006599345],"study_design_scores_gemma":[0.000009729025,0.00002553273,0.0003248572,0.00002980456,0.00000687852,0.0003587016,0.00009100726,0.003528332,0.001570858,0.9775479,0.01648523,0.00002129084],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2612053,0.003304524,0.2487203,0.005109292,0.003469351,0.00009274195,0.0002582774,0.0003684985,0.4774717],"genre_scores_gemma":[0.86459,0.002363617,0.05766252,0.001722405,0.001590923,0.00007004861,0.0001767326,0.0003144026,0.07150947],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006181693,"threshold_uncertainty_score":0.02067983,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4404450670","doi":"10.1080/10652469.2024.2428420","title":"On modular forms and Domb numbers","year":2024,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"Killam Trusts","keywords":"Mathematics; Modular design; Algebra over a field; Modular form; Pure mathematics; Computer science","authors":[{"name":"Janis M. Campbell","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02493173732496519,"gpt":0.3003080374320759,"spread":0.2753763001071107,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001555491,0.0008060518,0.000634328,0.001874181,0.001670128,0.00327588,0.00110693,0.001582861,0.006204511],"category_scores_gemma":[0.01016061,0.0004536796,0.0005377385,0.001059257,0.00458215,0.005231159,0.002966399,0.00325485,0.001498795],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001280218,"about_ca_system_score_gemma":0.0005712,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003290796,"about_ca_topic_score_gemma":0.0002537066,"domain_scores_codex":[0.9988047,0.0002957955,0.00004916576,0.0002437769,0.0004395846,0.0001669576],"domain_scores_gemma":[0.9972124,0.001491819,0.0003483525,0.0003949474,0.0003012159,0.0002513829],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002770027,0.00002184141,0.0003876719,0.00002917991,0.000001809341,0.00007452894,0.0002127528,0.0003076479,0.001375508,0.9919114,0.0007154511,0.004934481],"study_design_scores_gemma":[0.00002022804,0.00004064444,0.0002505877,0.00003178378,0.000004376532,0.0001990438,0.0001060873,0.00389528,0.003408314,0.9877359,0.004290852,0.00001704181],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6461565,0.0019193,0.14574,0.003828328,0.000779274,0.0001123299,0.0002452794,0.0007320015,0.200487],"genre_scores_gemma":[0.9644343,0.0006236723,0.02061134,0.0004597741,0.0002831598,0.00006861164,0.0001324142,0.0001176809,0.0132691],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006204511,"threshold_uncertainty_score":0.02075619,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4411707878","doi":"10.1080/10652469.2025.2522262","title":"Ramanujan-type formulae for 1/π <sup>3</sup>","year":2025,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"Killam Trusts","keywords":"Ramanujan's sum; Mathematics; Type (biology); Pure mathematics; Combinatorics; Algebra over a field","authors":[{"name":"John M. Campbell","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03784742734097498,"gpt":0.3253138466412618,"spread":0.2874664193002868,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00236345,0.0007806999,0.0005606902,0.002665543,0.001236342,0.001819754,0.00170392,0.0009542547,0.004395998],"category_scores_gemma":[0.00542481,0.0003468658,0.001101312,0.001329131,0.002294513,0.003111177,0.001241095,0.003363275,0.001923754],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001504878,"about_ca_system_score_gemma":0.000748305,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006773188,"about_ca_topic_score_gemma":0.0009716084,"domain_scores_codex":[0.9994073,0.0001413088,0.00005443391,0.00007671611,0.0002536348,0.00006662733],"domain_scores_gemma":[0.99926,0.0003478382,0.00006523624,0.00009024522,0.0001962368,0.00004048255],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001522707,0.00002309971,0.0001602079,0.00005148306,0.000005572215,0.00008385017,0.0002099649,0.002512924,0.00304329,0.9712192,0.001201855,0.02147328],"study_design_scores_gemma":[0.00001492161,0.00004216224,0.0002086273,0.00005421897,0.0000151381,0.0002655529,0.00007250832,0.04865568,0.01003519,0.9255631,0.01502123,0.00005168171],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"other","genre_scores_codex":[0.07416061,0.0009503036,0.8422819,0.0006672351,0.0009812955,0.0002170388,0.0001730554,0.0004825573,0.08008597],"genre_scores_gemma":[0.4274128,0.001442331,0.5366732,0.0005405151,0.0003766492,0.0003180964,0.0001626943,0.0007034304,0.03237037],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.004395998,"threshold_uncertainty_score":0.01470608,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2015805602","doi":"10.1080/10652469.2014.939079","title":"Series for 1/π and π with free parameters","year":2014,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Memorial University of Newfoundland","keywords":"Mathematics; Series (stratigraphy); Ramanujan's sum; Basic hypergeometric series; Extension (predicate logic); Applied mathematics; Hypergeometric function; Calculus (dental); Algebra over a field; Pure mathematics","authors":[{"name":"Chuanan Wei","is_ca":false},{"name":"Dianxuan Gong","is_ca":false},{"name":"Xiaoxia Wang","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02791648116679796,"gpt":0.2632144176752474,"spread":0.2352979365084495,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001512151,0.001585333,0.0009342266,0.003428353,0.001220398,0.002756524,0.001762943,0.00120836,0.00919392],"category_scores_gemma":[0.005394774,0.0003286614,0.001316548,0.001512827,0.003628564,0.005727935,0.002101909,0.002755871,0.00206134],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009760467,"about_ca_system_score_gemma":0.0007068871,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002389478,"about_ca_topic_score_gemma":0.0002839635,"domain_scores_codex":[0.9993887,0.0001871805,0.00004015093,0.0001037459,0.0001980972,0.00008207397],"domain_scores_gemma":[0.9986532,0.0004181984,0.0002438215,0.0002288007,0.0002239046,0.0002321026],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000008308128,0.00001602553,0.00007271278,0.00004097488,0.000004814451,0.0001336477,0.0001847874,0.001316487,0.0008169562,0.9930854,0.0006562784,0.00366371],"study_design_scores_gemma":[0.000008829593,0.00001629201,0.0001242596,0.00004647572,0.00001426891,0.0003981704,0.00006763034,0.01725809,0.001373353,0.9749365,0.005730483,0.00002573591],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1949561,0.003702248,0.5776957,0.002313584,0.003363741,0.0001342988,0.0002163812,0.0008679588,0.21675],"genre_scores_gemma":[0.841812,0.004095566,0.0833884,0.001002211,0.003514489,0.0002207387,0.0002122769,0.0006916031,0.06506281],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00919392,"threshold_uncertainty_score":0.03075677,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4400724580","doi":"10.1080/10652469.2024.2378830","title":"A novel integral identity for circular and diamond symmetric functions","year":2024,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Electromagnetic Scattering and Analysis","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Royal Bank of Canada","funders":"","keywords":"Mathematics; Identity (music); Symmetric function; Diamond; Pure mathematics; Mathematical analysis; Calculus (dental); Algebra over a field; Physics","authors":[{"name":"Aydin Behnad","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0114402068555676,"gpt":0.243582156518343,"spread":0.2321419496627754,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001215741,0.0005407007,0.0005726991,0.001535514,0.0009786866,0.002628396,0.001235694,0.00142134,0.006314042],"category_scores_gemma":[0.002425948,0.0002836456,0.0008131438,0.001068538,0.002052081,0.004125388,0.001978178,0.002022996,0.002133413],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008148611,"about_ca_system_score_gemma":0.0009898999,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005697191,"about_ca_topic_score_gemma":0.0005085354,"domain_scores_codex":[0.9991892,0.0001165157,0.00006068843,0.0001288093,0.0003967397,0.0001080066],"domain_scores_gemma":[0.9994517,0.0001425816,0.00005072563,0.0001020773,0.0002038247,0.00004906099],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000008607892,0.00001079601,0.00006113209,0.00002967267,0.000002921524,0.00008216775,0.00008330561,0.001060841,0.002901331,0.9847286,0.001023179,0.0100074],"study_design_scores_gemma":[0.00001000538,0.00004114434,0.0002149125,0.00005244579,0.00001335722,0.001196309,0.0001676038,0.08417998,0.00687995,0.8756249,0.03157876,0.00004072522],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0144787,0.0006616295,0.9182712,0.0004414398,0.0004739591,0.00004193811,0.000109265,0.000196043,0.06532577],"genre_scores_gemma":[0.4720861,0.002621746,0.4710972,0.001063501,0.0006491589,0.0001880966,0.0003711761,0.0006250114,0.051298],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006314042,"threshold_uncertainty_score":0.02112257,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2061686177","doi":"10.1080/1065246042000272054","title":"New results of α-calculus","year":2005,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Polytechnique Montréal","funders":"","keywords":"Mathematics; Calculus (dental); Extension (predicate logic); Time-scale calculus; Generalized function; Fourier transform; Algebra over a field; Presentation (obstetrics); Multivariable calculus; Pure mathematics; Mathematical analysis; Computer science","authors":[{"name":"Clément Frappier","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02741940575945462,"gpt":0.2768152768991612,"spread":0.2493958711397066,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002038727,0.0006887981,0.0008399988,0.002631756,0.001771724,0.003169016,0.0009321225,0.0007368244,0.0073744],"category_scores_gemma":[0.002941017,0.0003121962,0.001247519,0.001632577,0.003478477,0.005593303,0.002951309,0.003001882,0.001269938],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001338891,"about_ca_system_score_gemma":0.0006576286,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006705103,"about_ca_topic_score_gemma":0.0004614508,"domain_scores_codex":[0.9987753,0.0002305834,0.00009076501,0.0002261252,0.0005172848,0.000159946],"domain_scores_gemma":[0.9988555,0.0003512262,0.0001009114,0.000221714,0.0003049864,0.0001657741],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000003882593,0.000005577828,0.00005081328,0.00002714578,0.000003759068,0.00004440351,0.00010537,0.0001658562,0.0002481258,0.993938,0.001709001,0.003698152],"study_design_scores_gemma":[0.000003071713,0.000005923102,0.00007709766,0.00001476488,0.000004407619,0.00009805492,0.00003696552,0.0007714356,0.0002154645,0.9705749,0.02819178,0.000006275026],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.05611556,0.019819,0.3991966,0.01036324,0.00504038,0.0000817356,0.0005098741,0.0005663509,0.5083072],"genre_scores_gemma":[0.7020793,0.02686821,0.1368695,0.005622229,0.01118166,0.0002580035,0.0005043413,0.0005685947,0.1160482],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0073744,"threshold_uncertainty_score":0.02466983,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}