{"id":"W4313588313","doi":"10.3390/axioms12010052","title":"Coefficient Estimates of New Families of Analytic Functions Associated with q-Hermite Polynomials","year":2023,"lang":"en","type":"article","venue":"Axioms","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Hermite polynomials; Taylor series; Mathematics; Pure mathematics; Series (stratigraphy); Applied mathematics; Algebra over a field; 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":[],"consensus_categories":[],"category_scores_codex":[0.0004431573,0.0001282516,0.0004006476,0.0005293301,0.00005512173,0.000007655586,0.0001158055,0.00006923846,0.0003198658],"category_scores_gemma":[0.001576714,0.00009807634,0.000113979,0.0026534,0.0001462442,0.00004348842,0.00003963336,0.00006641942,0.00008068821],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003451795,"about_ca_system_score_gemma":0.0001039345,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001151458,"about_ca_topic_score_gemma":0.00001613847,"domain_scores_codex":[0.9989142,0.00002896628,0.0003927202,0.0001612418,0.0003046479,0.0001982646],"domain_scores_gemma":[0.9980105,0.001179903,0.0003096333,0.0002789143,0.0001509131,0.00007015912],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"observational","study_design_scores_codex":[0.001506547,0.004533583,0.09036792,0.001841719,0.01306765,0.00009310144,0.01996897,0.04535058,0.008917529,0.3765239,0.3970283,0.04080023],"study_design_scores_gemma":[0.01842865,0.00714528,0.3649365,0.002877794,0.01008151,0.00006020508,0.06544549,0.230992,0.05274282,0.2388392,0.004571808,0.00387872],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9226309,0.0001105071,0.07143713,0.0001170988,0.000167861,0.0002014307,0.00004835495,0.0001990075,0.005087706],"genre_scores_gemma":[0.978248,0.00001296023,0.0001965451,0.00001783593,0.00002448529,0.000004012395,0.00002425177,0.00002049755,0.02145139],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3924565,"threshold_uncertainty_score":0.3999437,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04611668874570255,"score_gpt":0.2936682028387851,"score_spread":0.2475515140930825,"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."}}