{"id":"W4404082281","doi":"10.3842/umzh.v76i10.7788","title":"Sharp starlike and convex radius for the differential operator of analytic functions","year":2024,"lang":"en","type":"article","venue":"Ukrains’kyi Matematychnyi Zhurnal","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"RADIUS; Differential (mechanical device); Operator (biology); Regular polygon; Analytic function; Mathematics; Convex function; Differential operator; Mathematical analysis; Physics; Computer science; Geometry; 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":[0.001911429,0.001414082,0.00129305,0.003190115,0.0009590184,0.002330204,0.001158722,0.0007179077,0.006162718],"category_scores_gemma":[0.006898759,0.0005805622,0.001292174,0.0007977871,0.003232005,0.003688454,0.00277381,0.002800895,0.002008563],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001399121,"about_ca_system_score_gemma":0.0006721376,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009414174,"about_ca_topic_score_gemma":0.0004676583,"domain_scores_codex":[0.9981959,0.0004864454,0.0001026045,0.0004143831,0.0005935028,0.0002070824],"domain_scores_gemma":[0.9955914,0.001843155,0.0005064552,0.0003069074,0.0009725714,0.0007795753],"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":[0.0001147666,0.0000205945,0.0005460655,0.0001430795,0.00002359474,0.0002427698,0.0003111571,0.002605899,0.01185829,0.9757783,0.002150669,0.006204754],"study_design_scores_gemma":[0.00006046592,0.0002355823,0.00296062,0.0000730656,0.00006777386,0.001838359,0.0003510619,0.08188517,0.01804872,0.8808706,0.01347972,0.0001287962],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3567514,0.003585435,0.510565,0.002378626,0.0003130251,0.0001316025,0.0007687345,0.0006594161,0.1248468],"genre_scores_gemma":[0.9128634,0.002367734,0.06194377,0.0004758288,0.0004989973,0.0001944533,0.0007426789,0.0004022653,0.02051096],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006162718,"threshold_uncertainty_score":0.02061641,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04205880127656357,"score_gpt":0.3153194149497011,"score_spread":0.2732606136731375,"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."}}