{"id":"W2042106619","doi":"10.1016/j.amc.2012.01.005","title":"Bilateral generating functions for the Erkuş–Srivastava polynomials and the generalized Lauricella functions","year":2012,"lang":"en","type":"article","venue":"Applied Mathematics and Computation","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Difference polynomials; Orthogonal polynomials; Gegenbauer polynomials; Classical orthogonal polynomials; Jacobi polynomials; Wilson polynomials; Discrete orthogonal polynomials; Macdonald polynomials; Hahn polynomials; Pure mathematics; Lagrange polynomial; Identity (music); Differential (mechanical device); Algebra over a field; Mathematical analysis; Polynomial","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00163234,0.0009633283,0.000728831,0.003012188,0.000932668,0.001812402,0.001220805,0.001357081,0.01315227],"category_scores_gemma":[0.006385833,0.0003557228,0.001109327,0.001429302,0.002355324,0.003266938,0.001524586,0.002475801,0.002141817],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001181374,"about_ca_system_score_gemma":0.0009123042,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007798459,"about_ca_topic_score_gemma":0.0008977331,"domain_scores_codex":[0.9994835,0.0001685699,0.00001798872,0.0000681294,0.0001518083,0.0001100739],"domain_scores_gemma":[0.9982413,0.0007010341,0.0002654644,0.0002121835,0.0003389338,0.0002410847],"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":[0.00001042388,0.000005977538,0.00006651851,0.00001314733,0.00000303767,0.00003239239,0.00006126751,0.00178487,0.0005295856,0.9909227,0.0006500333,0.005919931],"study_design_scores_gemma":[0.00001161308,0.00001421562,0.0002845564,0.00001463543,0.00000601464,0.0001318243,0.00004751626,0.03222343,0.000751525,0.9632222,0.003265164,0.00002730933],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.208719,0.001796041,0.669714,0.002544618,0.0005299547,0.00009776233,0.0003573059,0.0003662595,0.1158752],"genre_scores_gemma":[0.8584493,0.002075861,0.06627388,0.0005180618,0.0009313585,0.0002234233,0.0003862014,0.000400711,0.07074123],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01315227,"threshold_uncertainty_score":0.04399872,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0488728106116006,"score_gpt":0.2945476737292864,"score_spread":0.2456748631176858,"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."}}