{"id":"W4413380590","doi":"10.28924/2291-8639-23-2025-201","title":"Bi-Starlike and Bi-Convex Function Classes Connected to Shell-Like Curves and the q-Analogue of Fibonacci Numbers","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Fibonacci number; Mathematics; Regular polygon; Function (biology); Pure mathematics; Shell (structure); Combinatorics; Geometry; Composite material; Materials science","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":[0.0007117684,0.0005191591,0.0004340924,0.002450198,0.001275298,0.002349869,0.0006492634,0.0006416898,0.004146195],"category_scores_gemma":[0.003663305,0.0002376559,0.0005367413,0.0009062397,0.002427039,0.002988177,0.001081402,0.0011258,0.0004278143],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001011995,"about_ca_system_score_gemma":0.0003697074,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001409019,"about_ca_topic_score_gemma":0.000677848,"domain_scores_codex":[0.9996828,0.00005977432,0.00001740458,0.00007610655,0.00008182524,0.00008208238],"domain_scores_gemma":[0.9984573,0.0006744553,0.0002317417,0.0001091106,0.0003082623,0.000219106],"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":[0.00002856809,0.000009199103,0.001069923,0.00003137759,0.000004249071,0.00008816408,0.0001531712,0.001856033,0.002304724,0.98975,0.000310321,0.004394393],"study_design_scores_gemma":[0.00001100671,0.0000327276,0.002546246,0.0000357198,0.00001274878,0.0004240017,0.0002755782,0.05902511,0.002435209,0.9307433,0.004428222,0.00003022776],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6896764,0.0008312133,0.2519049,0.0006471443,0.00009470587,0.00004566061,0.0001539487,0.00008581465,0.05656017],"genre_scores_gemma":[0.9829417,0.0003322153,0.01126298,0.00007558355,0.00007451414,0.00003272507,0.0001186577,0.00002887531,0.005132718],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004146195,"threshold_uncertainty_score":0.01387036,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005107424568839768,"score_gpt":0.2838198387629468,"score_spread":0.278712414194107,"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."}}