{"id":"W1985765221","doi":"10.1016/j.cam.2011.03.033","title":"On the finite sum representations and transcendence properties of the Lauricella functions <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mi>D</mml:mi></mml:mrow></mml:msub></mml:math>","year":2011,"lang":"lv","type":"article","venue":"Journal of Computational and Applied Mathematics","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"St. Francis Xavier University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Transcendental number; Rational function; Logarithm; Algebraic number; Function (biology); Combinatorics; Conjecture; Transcendental function; Discrete mathematics; Pure mathematics; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001839752,0.001353613,0.001004456,0.004331438,0.00182743,0.004031178,0.001437248,0.0009625408,0.01216357],"category_scores_gemma":[0.008281074,0.0004265741,0.001115682,0.002440273,0.005251513,0.007428689,0.002423505,0.004365426,0.003052222],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001550775,"about_ca_system_score_gemma":0.0006853101,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00139846,"about_ca_topic_score_gemma":0.0007435969,"domain_scores_codex":[0.9993728,0.000177133,0.00003277708,0.0001298599,0.0001641233,0.0001233199],"domain_scores_gemma":[0.9971415,0.001498081,0.0002468624,0.0003446291,0.0004515884,0.0003172692],"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":[0.00004587666,0.00002235532,0.0001400893,0.00004401203,0.000007150391,0.00008607167,0.0003368811,0.0007291059,0.0006467678,0.9846293,0.001424408,0.01188815],"study_design_scores_gemma":[0.00001141716,0.00002836297,0.0002062103,0.0000249422,0.00000886828,0.0001477834,0.00009403517,0.003759085,0.0009370809,0.9918909,0.002869489,0.00002170394],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.3603806,0.007103416,0.2118835,0.004372114,0.0009736212,0.00007557366,0.0004050218,0.0005180392,0.4142881],"genre_scores_gemma":[0.939851,0.003367207,0.01703073,0.0006145854,0.001050359,0.00007139473,0.0003768769,0.0003042719,0.03733363],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01216357,"threshold_uncertainty_score":0.04069126,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0271533939686795,"score_gpt":0.2298188937909985,"score_spread":0.202665499822319,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}