{"id":"W2275217516","doi":"10.1017/s1446181100013080","title":"Solvability of some Abel-type integral equations involving the Gauss hypergeometric function as kernels in the spaces of summable functions","year":2001,"lang":"en","type":"article","venue":"The ANZIAM Journal","topic":"Iterative Methods for Nonlinear Equations","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada; Fukuoka University; Department of Science and Technology, Ministry of Science and Technology, India","keywords":"Mathematics; Hypergeometric function; Gauss; Type (biology); Confluent hypergeometric function; Generalized hypergeometric function; Space (punctuation); Pure mathematics; Mathematical analysis; Function (biology)","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006242256,0.0001623667,0.0002839264,0.0003467527,0.0005681934,0.00009400558,0.0005273446,0.0000685144,0.0002451875],"category_scores_gemma":[0.005782793,0.00007781031,0.0001928603,0.001963995,0.0002714032,0.0003912545,0.00007086747,0.0007280721,0.0000226668],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008099581,"about_ca_system_score_gemma":0.0001751352,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002395027,"about_ca_topic_score_gemma":0.0002655396,"domain_scores_codex":[0.9970629,0.001250069,0.0007374344,0.0001350241,0.0005440115,0.0002706085],"domain_scores_gemma":[0.9936996,0.004599112,0.0005689745,0.0005653626,0.0005278971,0.00003904491],"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":[0.001427821,0.005233466,0.09925739,0.000309115,0.001492461,0.00002511047,0.05921225,0.01198524,0.05063979,0.7309196,0.01104148,0.02845626],"study_design_scores_gemma":[0.001003335,0.0007707942,0.02489749,0.0001719745,0.0004847029,0.0002262434,0.02583986,0.01150784,0.001664509,0.93109,0.002075767,0.0002674922],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9478233,0.0008107321,0.04754665,0.001925968,0.0004930416,0.0003909027,0.00001198712,0.00001976178,0.0009776237],"genre_scores_gemma":[0.9955674,0.0001762653,0.002926539,0.0001090383,0.0003045809,0.00001489,0.000005011601,0.00001884077,0.0008773968],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2001704,"threshold_uncertainty_score":0.6922961,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1507997177858755,"score_gpt":0.3865692432260811,"score_spread":0.2357695254402056,"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."}}