{"id":"W2899498789","doi":"10.1007/s40995-018-0647-0","title":"Certain Subclasses of Bi-Univalent Functions Associated with the Horadam Polynomials","year":2018,"lang":"en","type":"article","venue":"Iranian Journal of Science and Technology Transactions A Science","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":116,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Classical orthogonal polynomials; Mathematics; Chebyshev polynomials; Discrete orthogonal polynomials; Difference polynomials; Wilson polynomials; Orthogonal polynomials; Hahn polynomials; Jacobi polynomials; Gegenbauer polynomials; Macdonald polynomials; Pure mathematics; Fibonacci polynomials; Class (philosophy); Algebra over a field; Discrete mathematics; Combinatorics; Computer science; Mathematical analysis","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":[0.0006746423,0.0004336871,0.0007391276,0.00221738,0.001739266,0.002613112,0.000767103,0.0008174563,0.004082162],"category_scores_gemma":[0.00289578,0.000367863,0.0007114042,0.001552022,0.001570077,0.001897561,0.001540986,0.001951532,0.0004320454],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001135044,"about_ca_system_score_gemma":0.0004809379,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008585078,"about_ca_topic_score_gemma":0.0005076695,"domain_scores_codex":[0.999429,0.0001009479,0.0000291229,0.0001235504,0.0001647805,0.0001525359],"domain_scores_gemma":[0.998556,0.0005554703,0.0002565593,0.0001267826,0.0002149117,0.0002904543],"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":[0.0001393355,0.00004938321,0.002396732,0.00007208537,0.00002763205,0.0004754083,0.0005216235,0.000733766,0.004937344,0.9814659,0.001204485,0.007976308],"study_design_scores_gemma":[0.0001036784,0.0001196209,0.01191336,0.00006466013,0.00007576062,0.003668651,0.001291014,0.0295836,0.004111632,0.9312872,0.01769496,0.00008583575],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8897341,0.001264336,0.0511662,0.00090389,0.0001752342,0.00004056337,0.0003099977,0.0001493868,0.05625633],"genre_scores_gemma":[0.9892184,0.0003403382,0.003475244,0.00009131095,0.0001916639,0.0000286309,0.000229176,0.00002741385,0.006397736],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004082162,"threshold_uncertainty_score":0.01365626,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02237718780932299,"score_gpt":0.2706267872753302,"score_spread":0.2482495994660072,"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."}}