{"id":"W2968100970","doi":"10.23952/asvao.1.2019.2.07","title":"Some homogeneous q-difference operators and the associated generalized Hahn polynomials","year":2019,"lang":"en","type":"article","venue":"Applied Set-Valued Analysis and Optimization","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Homogeneous; Mathematics; Operator (biology); Difference polynomials; Macdonald polynomials; Orthogonal polynomials; Hahn polynomials; Cauchy distribution; Wilson polynomials; Pure mathematics; Classical orthogonal polynomials; Order (exchange); Algebra over a field; Gegenbauer polynomials; Combinatorics; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":true,"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":[0.0008826685,0.000351324,0.0003099364,0.001132338,0.000673514,0.0007088918,0.0005905669,0.0005615839,0.002692213],"category_scores_gemma":[0.001688072,0.0001535675,0.0006304465,0.0006733474,0.001438407,0.001977165,0.000970055,0.00103137,0.0003681131],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007288348,"about_ca_system_score_gemma":0.0006347519,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007974398,"about_ca_topic_score_gemma":0.0007083457,"domain_scores_codex":[0.9996235,0.0001106538,0.00001823845,0.00006584236,0.0001224636,0.00005918247],"domain_scores_gemma":[0.9995104,0.0001666933,0.00007994381,0.00005506539,0.0001189419,0.00006892435],"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":[0.000006854692,0.00000849453,0.0001249606,0.00002260137,0.000003523355,0.00006552484,0.00008869773,0.001673552,0.001607533,0.9905618,0.0002504364,0.005585988],"study_design_scores_gemma":[0.0000101457,0.00003294604,0.0003856094,0.00001368238,0.000006837632,0.0002749606,0.000116165,0.03983875,0.002234445,0.952069,0.004997972,0.00001942975],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2697155,0.001586652,0.6810774,0.000904027,0.0002914511,0.00008666364,0.0001775521,0.00009136464,0.04606938],"genre_scores_gemma":[0.8432891,0.001801866,0.1314435,0.0003816371,0.0003817973,0.00009313292,0.0001558253,0.0000596472,0.02239347],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002692213,"threshold_uncertainty_score":0.009006381,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01725975802353447,"score_gpt":0.2554651279000966,"score_spread":0.2382053698765622,"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."}}