{"id":"W1973390268","doi":"10.1090/s0002-9947-2012-05539-5","title":"A limit 𝑞=-1 for the big 𝑞-Jacobi polynomials","year":2012,"lang":"en","type":"preprint","venue":"Transactions of the American Mathematical Society","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Jacobi polynomials; Orthogonal polynomials; Classical orthogonal polynomials; Wilson polynomials; Mathematics; Gegenbauer polynomials; Discrete orthogonal polynomials; Hahn polynomials; Difference polynomials; Orthogonality; Pure mathematics; Hypergeometric function; Algebra over a field","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":[0.0009626962,0.0006268166,0.0004901609,0.00105792,0.001453226,0.001914756,0.0009050643,0.0007886084,0.005470437],"category_scores_gemma":[0.003227425,0.0003249878,0.0006490076,0.0005809543,0.002417927,0.002789398,0.001496015,0.001795956,0.0008280607],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001281288,"about_ca_system_score_gemma":0.0009351786,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001710224,"about_ca_topic_score_gemma":0.001488234,"domain_scores_codex":[0.9995111,0.0001258976,0.00001427313,0.00008432931,0.000144371,0.0001199411],"domain_scores_gemma":[0.9991504,0.0003096553,0.0001318735,0.00007180156,0.0001510375,0.0001852888],"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":[0.0000172952,0.00001171065,0.0001975472,0.00003630476,0.000004650808,0.00005980114,0.0001222998,0.001303081,0.0008666758,0.9930468,0.001058445,0.003275411],"study_design_scores_gemma":[0.00001570463,0.00003301057,0.0003302457,0.00002909258,0.000007882752,0.000214914,0.0001520234,0.04544636,0.001278857,0.9487723,0.003695534,0.00002410714],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5197671,0.001867546,0.3237633,0.004066131,0.0008002807,0.00007826109,0.0002343101,0.0005304521,0.1488926],"genre_scores_gemma":[0.9422729,0.0006690951,0.02764521,0.0004294805,0.0003216298,0.00007820228,0.0001125445,0.0001620857,0.02830889],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005470437,"threshold_uncertainty_score":0.01830041,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08363104888807288,"score_gpt":0.3306439849585385,"score_spread":0.2470129360704656,"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."}}