{"id":"W4306701634","doi":"10.3934/math.2023016","title":"The Fekete-Szegö functional and the Hankel determinant for a certain class of analytic functions involving the Hohlov operator","year":2022,"lang":"en","type":"article","venue":"AIMS Mathematics","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Operator (biology); Combinatorics; Unit disk; Class (philosophy); Arithmetic; Chemistry","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000682406,0.0005704378,0.0005985555,0.001639478,0.001123135,0.001710852,0.0008525358,0.0008613852,0.004804777],"category_scores_gemma":[0.001790689,0.000202919,0.000570643,0.0006896099,0.001961998,0.00249841,0.0007181571,0.001028962,0.0006677964],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001219303,"about_ca_system_score_gemma":0.0007609925,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001515142,"about_ca_topic_score_gemma":0.0008301653,"domain_scores_codex":[0.9997625,0.00005608554,0.000007949858,0.0000498477,0.00006695872,0.00005666305],"domain_scores_gemma":[0.9994935,0.0001666907,0.00006394494,0.00005182776,0.0001035286,0.0001204908],"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":[0.000007632109,0.000008299601,0.0001063794,0.00001365828,0.000003171654,0.00004137633,0.00005929656,0.00133812,0.000809447,0.9949598,0.0006303433,0.002022415],"study_design_scores_gemma":[0.000009626759,0.00001704145,0.0005458783,0.00001610541,0.000006288014,0.0002569893,0.0001239626,0.07476908,0.001107526,0.9194304,0.003691054,0.00002614899],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6296907,0.001554674,0.2353336,0.002331389,0.0004777764,0.00004029647,0.0002691524,0.0003370947,0.1299653],"genre_scores_gemma":[0.9564419,0.0006028698,0.01540278,0.0002784866,0.0003282642,0.00004106142,0.0002059232,0.0002329578,0.02646583],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004804777,"threshold_uncertainty_score":0.01607364,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03780397618843738,"score_gpt":0.2677022894695882,"score_spread":0.2298983132811508,"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."}}