{"id":"W2135441689","doi":"10.3842/sigma.2007.003","title":"Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction","year":2007,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"Université de Montréal; Centre de Recherches Mathématiques","keywords":"Mathematics; Classical orthogonal polynomials; Orthogonal polynomials; Wilson polynomials; Discrete orthogonal polynomials; Biorthogonal system; Hermite polynomials; Hahn polynomials; Pure mathematics; Jacobi polynomials; Difference polynomials; Legendre polynomials; Gegenbauer polynomials; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0003932176,0.0006584546,0.0004370973,0.001675472,0.0007531827,0.001323049,0.0003911277,0.0006918059,0.002694458],"category_scores_gemma":[0.001579186,0.0002310348,0.0005122328,0.0007783051,0.001297651,0.001413475,0.0005950792,0.0008617673,0.0004429429],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007020904,"about_ca_system_score_gemma":0.0003634549,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005226767,"about_ca_topic_score_gemma":0.0003521003,"domain_scores_codex":[0.9998091,0.00004218706,0.000007205938,0.00002681747,0.00006520838,0.00004960735],"domain_scores_gemma":[0.9997179,0.00008241071,0.00009190318,0.00002614374,0.00003555772,0.00004613643],"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":[0.00003872769,0.00001682625,0.0002407067,0.00003336123,0.000005755379,0.0002387716,0.0001502261,0.003602877,0.002856336,0.9867682,0.0003590344,0.005689152],"study_design_scores_gemma":[0.0000440701,0.00007128483,0.0009820138,0.00004292345,0.00002021951,0.0009530883,0.000193474,0.08394083,0.004329108,0.9028004,0.006583187,0.00003942534],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8096465,0.001429392,0.1321594,0.0005902351,0.0001738031,0.00004469092,0.0001199781,0.0001774905,0.0556584],"genre_scores_gemma":[0.9834021,0.0005200053,0.007950826,0.00004226467,0.0001199488,0.00002712264,0.00006061985,0.00003636641,0.007840749],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002694458,"threshold_uncertainty_score":0.009013832,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03528898186787108,"score_gpt":0.3804957708416365,"score_spread":0.3452067889737654,"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."}}