{"id":"W4414670867","doi":"10.3390/math13193121","title":"On Bi-Univalent Function Classes Defined via Gregory Polynomials","year":2025,"lang":"en","type":"article","venue":"Mathematics","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Al-Imam Muhammad Ibn Saud Islamic University","keywords":"Class (philosophy); Subordination (linguistics); Function (biology); Subclass; Unit disk; Unit (ring theory); Difference polynomials","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":[0.0007798063,0.0005880548,0.0005692597,0.002762912,0.001150673,0.001722556,0.0006409596,0.0007499694,0.00209028],"category_scores_gemma":[0.00268894,0.0001990778,0.0003976971,0.001269451,0.001984563,0.002880873,0.001699103,0.001276112,0.0003072772],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001049718,"about_ca_system_score_gemma":0.0002949926,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001139777,"about_ca_topic_score_gemma":0.0005969222,"domain_scores_codex":[0.9995695,0.00008168998,0.00001607612,0.00007514339,0.0001395442,0.0001180904],"domain_scores_gemma":[0.9990345,0.0003352289,0.0002025745,0.00007545351,0.0001418523,0.000210364],"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":[0.00002097943,0.000009492928,0.0007043618,0.00002611916,0.000005445863,0.0001064838,0.0001954051,0.001489564,0.002998809,0.9901034,0.0001972506,0.004142817],"study_design_scores_gemma":[0.00002002133,0.00006834607,0.003876637,0.00006240906,0.0000204865,0.0008278038,0.0004250859,0.07265817,0.003717895,0.9103878,0.007881927,0.00005334582],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7695495,0.001739023,0.1890832,0.0004655481,0.00009513192,0.00003288549,0.00009233218,0.00008824348,0.03885407],"genre_scores_gemma":[0.9850178,0.0005434047,0.009348222,0.00008180994,0.00009646833,0.0000236595,0.00007235231,0.00003405458,0.004782142],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002762912,"threshold_uncertainty_score":0.007616222,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02886626730640696,"score_gpt":0.2865200558427499,"score_spread":0.257653788536343,"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."}}