{"id":"W2130205134","doi":"10.1142/s0219530514500365","title":"Zeros of pseudo-ultraspherical polynomials","year":2014,"lang":"en","type":"article","venue":"Analysis and Applications","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"National Research Foundation","keywords":"Mathematics; Gegenbauer polynomials; Polynomial; Monotonic function; Orthogonal polynomials; Degree (music); Difference polynomials; Discrete orthogonal polynomials; Classical orthogonal polynomials; Combinatorics; Pure mathematics; Discrete mathematics; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005819294,0.0004539196,0.0003321204,0.001571159,0.0005991603,0.001177942,0.0007403656,0.0003884823,0.005295524],"category_scores_gemma":[0.003889018,0.0002399695,0.0002668089,0.0006921788,0.001856818,0.002148865,0.001135783,0.0009360866,0.0006733933],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007105613,"about_ca_system_score_gemma":0.0004424993,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003230275,"about_ca_topic_score_gemma":0.0003221409,"domain_scores_codex":[0.9996101,0.00009644459,0.00001608773,0.00006287852,0.0001418866,0.00007260412],"domain_scores_gemma":[0.9988008,0.0005174211,0.0002018033,0.0001210055,0.0002456167,0.0001134144],"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":[0.00008162755,0.00001797057,0.0003750905,0.00008888735,0.000004768574,0.0001327404,0.0001435093,0.004780794,0.007796141,0.9772913,0.0007275273,0.008559774],"study_design_scores_gemma":[0.00002361798,0.00008541152,0.001051809,0.00005581342,0.000009345443,0.0005303191,0.00017274,0.116047,0.01434017,0.8614631,0.006164776,0.00005578011],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6802065,0.0009032777,0.2541844,0.0006961341,0.0002271764,0.00004435475,0.0002627841,0.0002983763,0.06317691],"genre_scores_gemma":[0.9725215,0.0003261317,0.0174467,0.00008627359,0.00009799937,0.00003787788,0.0001078707,0.00008769657,0.009288033],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005295524,"threshold_uncertainty_score":0.01771528,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02100489592364329,"score_gpt":0.2984660488641728,"score_spread":0.2774611529405295,"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."}}