{"id":"W4394694416","doi":"10.1080/10236198.2024.2336480","title":"On two-term hypergeometric recursions with free lower parameters","year":2024,"lang":"en","type":"article","venue":"The Journal of Difference Equations and Applications","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Term (time); Hypergeometric distribution; Hypergeometric function; Lauricella hypergeometric series; Pure mathematics; Basic hypergeometric series; Generalized hypergeometric function; Combinatorics; Hypergeometric function of a matrix argument","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":[0.0002386349,0.00008962297,0.00009963304,0.000251087,0.0002319064,0.0001843883,0.0005478681,0.00001815658,0.000006526529],"category_scores_gemma":[0.0000490742,0.0000491434,0.00004109371,0.0009125365,0.00006945962,0.0001923838,0.00006875661,0.0001854229,0.00001366773],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000246523,"about_ca_system_score_gemma":0.00008263154,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000649415,"about_ca_topic_score_gemma":0.000004669273,"domain_scores_codex":[0.9992879,0.00004585087,0.000212937,0.0001239685,0.0002172522,0.0001120701],"domain_scores_gemma":[0.9982872,0.001122697,0.0001088845,0.0003201873,0.00008295502,0.00007810371],"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":[0.00001357439,0.0001411683,0.00003844109,0.000009154642,0.00005172608,0.000003009027,0.0005472463,0.001604962,0.0006836186,0.6359543,0.0004428894,0.3605099],"study_design_scores_gemma":[0.001274444,0.001711583,0.01597136,0.0004713128,0.0002782296,0.0003418291,0.0002026163,0.1632894,0.0006893788,0.8125863,0.002631627,0.000551886],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.193863,0.0003629483,0.802141,0.003162971,0.0001047758,0.0001290533,0.000004891054,0.00002853107,0.000202761],"genre_scores_gemma":[0.9948399,0.00008917968,0.004718487,0.000125224,0.00007430633,0.00002139718,0.000001161711,0.000004993154,0.0001253186],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8009769,"threshold_uncertainty_score":0.200401,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0182133979993893,"score_gpt":0.2506218770775987,"score_spread":0.2324084790782094,"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."}}