{"id":"W1590871398","doi":"10.1063/1.1353185","title":"An asymptotic expansion for the hypergeometric function F12(a,b;c;x)","year":2001,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Generalized hypergeometric function; Bessel function; Mathematics; Hypergeometric function of a matrix argument; Hypergeometric function; Ordinary differential equation; Basic hypergeometric series; Confluent hypergeometric function; Asymptotic expansion; Pure mathematics; Mathematical analysis; Mathematical physics; Function (biology); Differential equation","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":[0.002438061,0.0009464668,0.0005499041,0.002580095,0.0008325902,0.001628566,0.00126394,0.001300508,0.006743246],"category_scores_gemma":[0.007927359,0.0003174449,0.0008989247,0.0009816025,0.002789816,0.004088813,0.00124785,0.003438769,0.002437305],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001150089,"about_ca_system_score_gemma":0.0009328817,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001352837,"about_ca_topic_score_gemma":0.001581852,"domain_scores_codex":[0.9994045,0.0001750588,0.00004389019,0.00006932898,0.0002393325,0.00006792797],"domain_scores_gemma":[0.9984645,0.0006843734,0.0001084584,0.0001841957,0.0004870084,0.00007146981],"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":[0.000005654581,0.000007796278,0.0000908248,0.00003973161,0.000004464963,0.0001299946,0.0001425229,0.001691702,0.001563094,0.9890677,0.000962084,0.006294284],"study_design_scores_gemma":[0.000005248226,0.00001970142,0.0003054297,0.00004891724,0.000008591267,0.0006060435,0.00006297003,0.03152008,0.002900822,0.9508076,0.01368034,0.00003415554],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03054563,0.001993101,0.8918748,0.002315074,0.0007810804,0.000047409,0.0001176703,0.0003879782,0.07193726],"genre_scores_gemma":[0.5448478,0.005971557,0.373982,0.001850001,0.001241807,0.0002750309,0.0002282623,0.0008314662,0.070772],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006743246,"threshold_uncertainty_score":0.02255845,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02450176823813183,"score_gpt":0.2739747034606519,"score_spread":0.2494729352225201,"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."}}