{"id":"W4391401573","doi":"10.1186/s13660-024-03090-9","title":"Faber polynomial coefficient inequalities for bi-Bazilevič functions associated with the Fibonacci-number series and the square-root functions","year":2024,"lang":"en","type":"article","venue":"Journal of Inequalities and Applications","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"King Saud University","keywords":"Mathematics; Fibonacci number; Square root; Series (stratigraphy); Root (linguistics); Polynomial; Square (algebra); Combinatorics; Pure mathematics; Mathematical analysis; 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":[0.001899946,0.001045927,0.0007872202,0.003484762,0.001091114,0.002488981,0.001501172,0.0009012449,0.006293429],"category_scores_gemma":[0.009551069,0.0002886736,0.0007042922,0.001347692,0.002691912,0.0034128,0.001369012,0.003089901,0.0009919325],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002103109,"about_ca_system_score_gemma":0.0007622982,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002494272,"about_ca_topic_score_gemma":0.001472011,"domain_scores_codex":[0.9991753,0.0001751621,0.00002825682,0.0001068097,0.0002969838,0.0002175624],"domain_scores_gemma":[0.9959548,0.002367078,0.0002870197,0.0002191923,0.0009054667,0.0002666065],"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":[0.00002674356,0.00001238487,0.0003546259,0.00004797041,0.000005650018,0.00009210911,0.0001634301,0.003461373,0.003730517,0.9866649,0.0008747323,0.004565571],"study_design_scores_gemma":[0.00001840688,0.00003576828,0.001339939,0.00007634956,0.00001777952,0.0003673036,0.0002232013,0.1590425,0.005878358,0.8256129,0.00734103,0.00004647558],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2838843,0.002968912,0.539235,0.001931239,0.0003657601,0.00009795911,0.0003371488,0.0002274771,0.1709523],"genre_scores_gemma":[0.9359887,0.00174617,0.03770427,0.0002909231,0.0002785079,0.0001553592,0.0002827702,0.0001404517,0.02341286],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006293429,"threshold_uncertainty_score":0.02105355,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02725146179942353,"score_gpt":0.2848438929963274,"score_spread":0.2575924311969039,"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."}}