{"id":"W3094806478","doi":"10.3390/sym12111816","title":"A Note on Generalized q-Difference Equations and Their Applications Involving q-Hypergeometric Functions","year":2020,"lang":"en","type":"article","venue":"Symmetry","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Hypergeometric function; Set (abstract data type); Hypergeometric distribution; Algebra over a field; Special functions; Series (stratigraphy); Generalized hypergeometric function","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":[0.0001913012,0.0001910505,0.0002996193,0.0002179003,0.0003016752,0.00006756061,0.0001386511,0.00009748655,0.0003767128],"category_scores_gemma":[0.001596711,0.0001471729,0.00009555948,0.001086356,0.00005155177,0.00005751137,0.00007519765,0.0002068354,0.0002236168],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003064775,"about_ca_system_score_gemma":0.00003691444,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001082549,"about_ca_topic_score_gemma":0.000005444643,"domain_scores_codex":[0.9989119,0.0000674379,0.0003431473,0.0003079231,0.0001536393,0.0002159407],"domain_scores_gemma":[0.9972109,0.00205891,0.0001026722,0.0003441218,0.00006764135,0.0002158101],"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":[0.00001887443,0.0002325634,0.0001581918,0.0002156705,0.00007510911,5.92421e-7,0.0007261527,0.000008021892,0.005361541,0.9626345,0.005777138,0.02479167],"study_design_scores_gemma":[0.002773464,0.0007917152,0.001181307,0.0002183912,0.0004810689,0.0000236846,0.00183294,0.05126067,0.005786098,0.8380353,0.09582844,0.00178696],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06579607,0.0005334363,0.9157298,0.003710252,0.000171634,0.0008682834,0.0001424553,0.0003592808,0.01268879],"genre_scores_gemma":[0.9833177,0.00004656949,0.01308423,0.001352219,0.0003753778,0.0002796315,0.00002369482,0.00004015075,0.00148046],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9175216,"threshold_uncertainty_score":0.6001537,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08040127107571302,"score_gpt":0.3019057343194916,"score_spread":0.2215044632437786,"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."}}