{"id":"W3004228824","doi":"10.3390/math8020172","title":"Faber Polynomial Coefficient Estimates for Bi-Univalent Functions Defined by Using Differential Subordination and a Certain Fractional Derivative Operator","year":2020,"lang":"en","type":"article","venue":"Mathematics","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":64,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Subordination (linguistics); Differential operator; Mathematics; Unit disk; Analytic function; Fractional calculus; Polynomial; Operator (biology); Differential (mechanical device); Derivative (finance); Pure mathematics; Univalent function; Generalizations of the derivative; Mathematical analysis; Applied mathematics; Discrete mathematics; Combinatorics","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":[0.001808285,0.0008288619,0.0007194925,0.003153582,0.0007583473,0.001384283,0.001043504,0.0006007817,0.001908944],"category_scores_gemma":[0.005186299,0.0001919541,0.0007473037,0.0009695856,0.001675321,0.003594531,0.001661311,0.00238268,0.0003276021],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001345972,"about_ca_system_score_gemma":0.0005041526,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001243284,"about_ca_topic_score_gemma":0.0008586576,"domain_scores_codex":[0.9994855,0.0001164272,0.0000260936,0.00008622514,0.0002031142,0.00008264101],"domain_scores_gemma":[0.998199,0.0008493352,0.0001807884,0.0001541934,0.0004384446,0.000178187],"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":[0.00004091015,0.0000195626,0.0008197495,0.00009302165,0.00001576962,0.0001581967,0.0003619375,0.007518084,0.01124067,0.9694342,0.0005198827,0.009778009],"study_design_scores_gemma":[0.00001725998,0.00007098449,0.002814765,0.00006916327,0.00005860447,0.0007685966,0.0003973251,0.2792727,0.01617059,0.687347,0.01294213,0.00007100304],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2237327,0.002851428,0.741073,0.0007170569,0.000177735,0.00003562413,0.00009645953,0.0001313898,0.03118462],"genre_scores_gemma":[0.9212248,0.00238343,0.06737874,0.000168051,0.0002411063,0.0000442398,0.0001103425,0.00009855287,0.008350744],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003153582,"threshold_uncertainty_score":0.009765804,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05493264285103293,"score_gpt":0.2980587929100513,"score_spread":0.2431261500590183,"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."}}