{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005449662,0.0004106569,0.0003958802,0.001266143,0.0007967433,0.0008970261,0.0005042196,0.0004911153,0.006427588],"category_scores_gemma":[0.002027934,0.0001551366,0.0007766038,0.0009708683,0.001177485,0.001678995,0.0006313605,0.001011451,0.0008253145],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004686286,"about_ca_system_score_gemma":0.0004073046,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007606235,"about_ca_topic_score_gemma":0.0006792222,"domain_scores_codex":[0.9996545,0.00006178363,0.00001713691,0.00005846177,0.0001373068,0.00007083434],"domain_scores_gemma":[0.9994529,0.0001741543,0.0000988063,0.00007538964,0.0001386135,0.00006020114],"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":[0.00002145239,0.00001518056,0.0003529645,0.00008154241,0.000006936752,0.0002211424,0.0001772999,0.003788575,0.003365751,0.9792476,0.001427471,0.01129419],"study_design_scores_gemma":[0.00001672958,0.00005586156,0.001126036,0.00003552877,0.00001313496,0.001255689,0.0001472409,0.0915522,0.003167853,0.8858014,0.01678564,0.00004270818],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2655549,0.003455439,0.5897435,0.001304252,0.0005326198,0.00008763642,0.0003347672,0.0002278351,0.1387591],"genre_scores_gemma":[0.9407663,0.00191776,0.04003015,0.0003037844,0.0005302299,0.00005364287,0.0001916094,0.0001322208,0.0160743],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006427588,"threshold_uncertainty_score":0.02150244,"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."}}