{"id":"W2029884443","doi":"10.1016/s0893-9659(02)00138-6","title":"Some convolution conditions for starlikeness and convexity of meromorphically multivalent functions","year":2002,"lang":"en","type":"article","venue":"Applied Mathematics Letters","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Meromorphic function; Convolution (computer science); Convexity; Mathematics; Unit disk; Hadamard product; Convex function; Product (mathematics); Function (biology); Regular polygon; Pure mathematics; Hadamard transform; Mathematical analysis; Geometry; Computer science; Artificial intelligence","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":[0.0003974703,0.000197011,0.0004209699,0.0002015467,0.0001772076,0.00001723441,0.0001129843,0.00009947058,0.0002549119],"category_scores_gemma":[0.0002886107,0.0001827461,0.0001165651,0.0002268653,0.00033704,0.00008302936,0.00004279042,0.0001203906,0.00003706268],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004514141,"about_ca_system_score_gemma":0.000009890454,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002623846,"about_ca_topic_score_gemma":6.585096e-7,"domain_scores_codex":[0.9987077,0.00001806378,0.0005307905,0.0002487057,0.0002533578,0.0002414367],"domain_scores_gemma":[0.9976891,0.00146139,0.0003253628,0.0003266792,0.0001017786,0.00009567027],"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":[0.00003081442,0.000598707,0.00003842127,0.0009133773,0.0002789692,0.000001071976,0.0008264963,0.00003820031,0.02128491,0.9481636,0.02750917,0.0003162849],"study_design_scores_gemma":[0.003291504,0.000152721,0.0001647931,0.00010162,0.000753429,0.00002257736,0.002071061,0.01927783,0.004329614,0.9677065,0.001539159,0.0005891852],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3430329,0.0001105813,0.6511058,0.001734848,0.0002375536,0.00136963,0.0002105405,0.000165675,0.002032517],"genre_scores_gemma":[0.9595107,0.00005928783,0.03789202,0.0006678065,0.0001478693,0.0002857692,0.00003877515,0.00005426763,0.00134348],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6164778,"threshold_uncertainty_score":0.7452168,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05249054310113685,"score_gpt":0.2625203873422949,"score_spread":0.210029844241158,"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."}}