{"id":"W4410439415","doi":"10.28924/2291-8639-23-2025-123","title":"Third Order Hankel Determinant for Inverse Functions of a Classes of Univalent Functions with Bounded Turning","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Bounded function; Inverse; Order (exchange); Pure mathematics; Function (biology); Mathematical analysis; Geometry","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009078243,0.0006409129,0.0008508498,0.002610582,0.0007016055,0.002469509,0.0008755249,0.0008213472,0.003469561],"category_scores_gemma":[0.004143569,0.0002600877,0.0009788129,0.0004353574,0.002206776,0.001501212,0.00138109,0.002173356,0.0004619792],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008069398,"about_ca_system_score_gemma":0.000409092,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006729596,"about_ca_topic_score_gemma":0.0004637917,"domain_scores_codex":[0.9993724,0.0001114802,0.00001966363,0.00008973697,0.0002342205,0.000172452],"domain_scores_gemma":[0.9969845,0.001793361,0.0002092588,0.0002198498,0.0004268801,0.0003660106],"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":[0.0001268222,0.00008230743,0.002457035,0.0001430308,0.00003631565,0.0005130496,0.0003748032,0.01437523,0.01564022,0.9479204,0.0009622822,0.01736854],"study_design_scores_gemma":[0.00001905495,0.0001239854,0.005695842,0.00008236525,0.00004189566,0.001520095,0.0003466111,0.265277,0.01284001,0.7085854,0.005339722,0.0001279807],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4931519,0.001703028,0.4484424,0.0006124682,0.0002352983,0.00002516396,0.00009796949,0.0003306824,0.0554012],"genre_scores_gemma":[0.9855965,0.0003944707,0.008469961,0.0001000708,0.0001273092,0.00001786332,0.00006867159,0.00008406087,0.005140962],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003469561,"threshold_uncertainty_score":0.01160681,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02292517635770051,"score_gpt":0.3293767117209463,"score_spread":0.3064515353632458,"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."}}