{"id":"W1972603960","doi":"10.1016/j.aml.2007.01.003","title":"Coefficient bounds for some families of starlike and convex functions of complex order","year":2007,"lang":"en","type":"article","venue":"Applied Mathematics Letters","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Regular polygon; Convex function; Cauchy distribution; Euler's formula; Order (exchange); Pseudoconvex function; Mathematical analysis; Differential (mechanical device); Subderivative; Applied mathematics; Pure mathematics; Convex optimization; Geometry","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":[0.002745709,0.00180594,0.00149938,0.006380634,0.001794187,0.003735719,0.002193692,0.001220711,0.006210082],"category_scores_gemma":[0.01837991,0.00066895,0.001270035,0.003001615,0.004428162,0.005420235,0.002715488,0.004210439,0.0007772412],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003799497,"about_ca_system_score_gemma":0.0009981827,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003327753,"about_ca_topic_score_gemma":0.002030388,"domain_scores_codex":[0.998737,0.0002945462,0.00004042772,0.0001762661,0.0004891893,0.0002624975],"domain_scores_gemma":[0.9877462,0.008077071,0.0007174826,0.0005282223,0.001624035,0.001307031],"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":[0.00007959552,0.00002087914,0.0007383942,0.00007210145,0.00002111345,0.0001194871,0.0003125949,0.004481428,0.00186197,0.9851578,0.002429159,0.004705432],"study_design_scores_gemma":[0.00003351822,0.00002900157,0.001240425,0.00006816023,0.00005916387,0.0004011393,0.0002276473,0.09950276,0.002654658,0.8892162,0.006506789,0.00006052239],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4919402,0.006127788,0.3886042,0.004160874,0.0004050504,0.0001051182,0.0007305419,0.0004234745,0.1075027],"genre_scores_gemma":[0.9377606,0.003722099,0.03391199,0.0004374412,0.0005122848,0.000159163,0.0007213586,0.0003162178,0.0224588],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006380634,"threshold_uncertainty_score":0.02756745,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03334922946850408,"score_gpt":0.2738807779098061,"score_spread":0.240531548441302,"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."}}