{"id":"W4409436482","doi":"10.2298/fil2411719s","title":"Some definite integrals involving elliptic integrals in association with hypergeometric functions","year":2024,"lang":"en","type":"article","venue":"Filomat","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"National Board for Higher Mathematics","keywords":"Mathematics; Hypergeometric function; Generalized hypergeometric function; Elliptic integral; Pure mathematics; Hypergeometric distribution; 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":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0009665547,0.000248226,0.0004338807,0.0008780042,0.0000998207,0.0002315843,0.00014312,0.0001820254,0.001338769],"category_scores_gemma":[0.00195382,0.0001779598,0.0001390686,0.001728262,0.00002724956,0.00040194,0.00004910592,0.0004170806,0.001366276],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003985221,"about_ca_system_score_gemma":0.00008078603,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005980601,"about_ca_topic_score_gemma":0.00007342052,"domain_scores_codex":[0.9982081,0.0001100724,0.0005807844,0.0003294857,0.0003643074,0.000407268],"domain_scores_gemma":[0.9963577,0.003016158,0.0001191991,0.0003293924,0.00008010837,0.0000974186],"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":[0.00004235084,0.0004309463,0.01071663,0.001211904,0.000343912,0.00005384149,0.001248593,0.00003563238,0.0006616046,0.8837157,0.09798137,0.003557455],"study_design_scores_gemma":[0.001253484,0.0005931755,0.003547559,0.003194796,0.0006303209,0.0001142758,0.001759525,0.009150971,0.002443109,0.9101379,0.06574954,0.001425366],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9777493,0.002318469,0.002578973,0.001020628,0.001224538,0.0005859615,0.00008549156,0.0006212322,0.01381535],"genre_scores_gemma":[0.9601093,0.0002704948,0.009362452,0.0002198502,0.0005419278,0.0002700257,0.00005296568,0.0001138022,0.02905917],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03223183,"threshold_uncertainty_score":0.9995741,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04470553726711309,"score_gpt":0.2893202389316371,"score_spread":0.244614701664524,"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."}}