{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001011081,0.0005651127,0.001030905,0.001043069,0.0008183199,0.001975241,0.0005618219,0.001202579,0.001343856],"category_scores_gemma":[0.003628416,0.0002966359,0.001008894,0.000475267,0.002116963,0.00240906,0.002069246,0.001313609,0.0001154042],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000832783,"about_ca_system_score_gemma":0.0008817279,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001525065,"about_ca_topic_score_gemma":0.0007371001,"domain_scores_codex":[0.999625,0.0001056131,0.00002570384,0.00005153298,0.0001123507,0.00007971391],"domain_scores_gemma":[0.9988338,0.0005103906,0.0002685236,0.00005885014,0.0001602935,0.0001681875],"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":[0.0001231106,0.00009126289,0.001711936,0.0001060441,0.00008116633,0.0009559349,0.0004752297,0.05429601,0.01316928,0.9232486,0.0005111635,0.005230214],"study_design_scores_gemma":[0.00006171141,0.00006035953,0.0006407319,0.00001843889,0.00002399204,0.0004174745,0.0002677795,0.6630236,0.003203443,0.3318945,0.0003560995,0.00003178404],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.8579026,0.0003938133,0.1336828,0.0006681951,0.00003939656,0.00003324161,0.0000771615,0.00004937865,0.007153348],"genre_scores_gemma":[0.9862883,0.0002142174,0.01023556,0.00004213869,0.00004381642,0.00003824927,0.00004927179,0.00001439086,0.003073955],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.001975241,"threshold_uncertainty_score":0.006042302,"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."}}