{"id":"W4392238506","doi":"10.3390/sym16030280","title":"A New Subclass of Analytic Functions Associated with the q-Derivative Operator Related to the Pascal Distribution Series","year":2024,"lang":"en","type":"article","venue":"Symmetry","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Subclass; Pascal (unit); Mathematics; Analytic function; Operator (biology); Derivative (finance); Distribution (mathematics); Combinatorics; Pure mathematics; Mathematical analysis; Computer science; Medicine","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007412139,0.0001540016,0.0002280345,0.0001309975,0.0002069568,0.00006893035,0.0001797147,0.00009020188,0.0002760016],"category_scores_gemma":[0.001445543,0.00007440917,0.000122307,0.003843937,0.0001184666,0.0001109188,0.00005723531,0.0002865141,0.0001113201],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001342533,"about_ca_system_score_gemma":0.0001725033,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003301687,"about_ca_topic_score_gemma":0.00003933071,"domain_scores_codex":[0.9988334,0.0001379527,0.0002785788,0.0002143948,0.0003369789,0.0001987214],"domain_scores_gemma":[0.9982334,0.001098115,0.00009080542,0.0003300161,0.000170766,0.00007685021],"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":[0.0001368035,0.0001000066,0.001131516,0.000058863,0.001756466,0.00001040177,0.002377468,0.0001242865,0.0000483087,0.564388,0.4266424,0.003225481],"study_design_scores_gemma":[0.003760413,0.004304391,0.05564279,0.001730025,0.007375651,0.0002228148,0.09129387,0.01275338,0.004367965,0.4961499,0.319978,0.002420809],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4367152,0.001347816,0.4941875,0.04913142,0.001379597,0.001418926,0.0005271942,0.0006201324,0.01467228],"genre_scores_gemma":[0.955413,0.000004932928,0.00009137879,0.0001322024,0.00007046182,0.00001694289,0.00004650629,0.00002155317,0.04420305],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5186978,"threshold_uncertainty_score":0.3034318,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0133590456658994,"score_gpt":0.2582552867526147,"score_spread":0.2448962410867153,"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."}}