{"id":"W2981173247","doi":"10.3390/sym11101307","title":"Certain Results for the Twice-Iterated 2D q-Appell Polynomials","year":2019,"lang":"en","type":"article","venue":"Symmetry","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Iterated function; Mathematics; Polynomial; Class (philosophy); Orthogonal polynomials; Difference polynomials; Type (biology); Appell series; Pure mathematics; Combinatorics; Mathematical analysis; Hypergeometric function; Generalized hypergeometric function; Computer science","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":[0.0007655575,0.0002005606,0.0003608096,0.0000820592,0.0001122668,0.00009347049,0.0003702588,0.0001127794,0.0001393861],"category_scores_gemma":[0.002455807,0.0001334521,0.0001601187,0.0002265152,0.0000692604,0.0001599135,0.0001029758,0.0001661667,0.0005844969],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005634041,"about_ca_system_score_gemma":0.00003410525,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001465658,"about_ca_topic_score_gemma":0.000009509028,"domain_scores_codex":[0.9984856,0.00005645464,0.0005382923,0.0002870888,0.0002490096,0.0003835562],"domain_scores_gemma":[0.9940573,0.004818586,0.0002219777,0.0007248895,0.0001132817,0.00006397603],"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":[0.0006324807,0.0003429031,0.000132141,0.001414448,0.0003663107,0.000007067388,0.002714486,0.00003042665,0.007151288,0.8301561,0.1548065,0.002245831],"study_design_scores_gemma":[0.001810697,0.0001412631,0.0000634426,0.0002033913,0.0001109139,0.000008906263,0.001863788,0.001805482,0.01297366,0.9612848,0.01938635,0.0003472807],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6573312,0.002049933,0.06560982,0.006705009,0.003977808,0.009210252,0.0006718407,0.001189664,0.2532545],"genre_scores_gemma":[0.8510737,0.00003102892,0.02821763,0.0004885609,0.0004382916,0.000127331,0.00002049448,0.0001162554,0.1194866],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1937426,"threshold_uncertainty_score":0.7512721,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04744309188361481,"score_gpt":0.3390845532909999,"score_spread":0.2916414614073851,"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."}}