{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003063516,0.00008760264,0.0003776336,0.00008203284,0.00009057704,0.00001908113,0.000092366,0.00005173736,0.0003812063],"category_scores_gemma":[0.0001233131,0.00006911393,0.000165814,0.0005648785,0.00007146174,0.00002661022,0.00002450106,0.0000455085,0.00001963327],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000047467,"about_ca_system_score_gemma":0.000007435927,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000371175,"about_ca_topic_score_gemma":0.000008312116,"domain_scores_codex":[0.9992027,0.00004109585,0.0003784802,0.0001681235,0.0001024113,0.0001071619],"domain_scores_gemma":[0.9986404,0.0007089257,0.0001442002,0.0003746076,0.00005247321,0.00007934911],"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":[0.000003252731,0.0002070689,0.002383131,0.00005683037,0.0004397859,2.764717e-8,0.00007111816,0.00001212506,0.00764957,0.9741251,0.001071162,0.01398077],"study_design_scores_gemma":[0.0005141345,0.0001010179,0.006200355,0.00002039306,0.005166831,0.000004381114,0.0001463254,0.007453565,0.01557509,0.9083754,0.05595662,0.0004858957],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.140049,0.00003567802,0.8493258,0.0002742828,0.000008615045,0.0002298945,0.0000210922,0.00004172829,0.0100139],"genre_scores_gemma":[0.9680618,0.00002578981,0.03071108,0.00006758691,0.00008394021,0.0001121906,0.000008689182,0.000008736156,0.0009201822],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8280128,"threshold_uncertainty_score":0.4173941,"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."}}