{"id":"W4400333485","doi":"10.1186/s13660-024-03151-z","title":"Upper bound for the second and third Hankel determinants of analytic functions associated with the error function and q-convolution combination","year":2024,"lang":"en","type":"article","venue":"Journal of Inequalities and Applications","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Algorithm; Physics; Mathematics; Artificial intelligence; Computer science","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":[],"consensus_categories":[],"category_scores_codex":[0.000900052,0.000087095,0.0001821885,0.0001414488,0.000321799,0.00008083221,0.00004974713,0.00004957482,0.00002517069],"category_scores_gemma":[0.0001702106,0.00004539747,0.00005839406,0.0002821835,0.0002006338,0.0001471895,0.00001646316,0.0001222143,3.582325e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002558121,"about_ca_system_score_gemma":0.00004912762,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007587021,"about_ca_topic_score_gemma":0.00004908549,"domain_scores_codex":[0.9992905,0.00004255228,0.0003459967,0.00009331796,0.0001424033,0.00008528474],"domain_scores_gemma":[0.9971709,0.002125601,0.000313446,0.00009983319,0.000257412,0.00003281706],"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":[0.0002993892,0.0002817537,0.01069249,0.001064936,0.001461519,7.855213e-7,0.00304465,0.0000324755,0.0002542628,0.9477656,0.01731237,0.01778979],"study_design_scores_gemma":[0.002512755,0.001645154,0.06087797,0.0004548459,0.003491784,0.0001935919,0.05662237,0.02891002,0.000133258,0.8029433,0.04183049,0.0003844119],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7745889,0.00361727,0.2192959,0.001673147,0.000104769,0.0004401021,0.00007365679,0.0000153251,0.0001908439],"genre_scores_gemma":[0.9949439,0.000112504,0.00008063251,0.00007253752,0.0000912254,0.0000489226,0.000003759316,0.000009385968,0.004637136],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.220355,"threshold_uncertainty_score":0.2475051,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03868991939052879,"score_gpt":0.2989857548366239,"score_spread":0.2602958354460951,"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."}}