{"id":"W3009025310","doi":"10.2298/fil1910085s","title":"A class of big (p,q)-Appell polynomials and their associated difference equations","year":2019,"lang":"en","type":"article","venue":"Filomat","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Difference polynomials; Recurrence relation; Orthogonal polynomials; Classical orthogonal polynomials; Differential equation; Discrete orthogonal polynomials; Pure mathematics; Combinatorics; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001910861,0.0001422681,0.0003919834,0.00006750577,0.00003904801,0.00002440097,0.000140052,0.00008554517,0.000264817],"category_scores_gemma":[0.001264625,0.0001106358,0.00006421031,0.0001136604,0.00008511276,0.00008054614,0.0001123491,0.00008825066,0.00008941608],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003138833,"about_ca_system_score_gemma":0.00002344013,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009811067,"about_ca_topic_score_gemma":0.00002669273,"domain_scores_codex":[0.9990925,0.00005453174,0.000347929,0.0001624978,0.0001520645,0.0001905136],"domain_scores_gemma":[0.9974318,0.00190215,0.0002317861,0.0003151409,0.00006961206,0.00004957199],"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":[0.00003158674,0.0006165522,0.002663546,0.001222942,0.0002587315,0.000002389052,0.005013847,0.000007677694,0.07516041,0.911455,0.001796722,0.001770632],"study_design_scores_gemma":[0.0004533904,0.00006844296,0.0013982,0.0002073599,0.00003058375,0.00000239119,0.0005568435,0.001409736,0.01022556,0.9853687,0.0001031663,0.0001755784],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9774883,0.00006817936,0.006836852,0.0001358145,0.0001321102,0.0003882033,0.00008968286,0.0001037121,0.01475715],"genre_scores_gemma":[0.9884005,0.00001137204,0.001977211,0.00002508154,0.00002071766,0.00001403099,0.000006558495,0.0000236869,0.0095209],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07391379,"threshold_uncertainty_score":0.4511596,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05468775203280314,"score_gpt":0.2917168901393519,"score_spread":0.2370291381065488,"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."}}