{"id":"W2946677617","doi":"10.1063/1.5111344","title":"Convolution identities for Dunkl orthogonal polynomials from the osp(1|2) Lie superalgebra","year":2019,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Centre de Recherches Mathématiques","keywords":"Orthogonal polynomials; Jacobi polynomials; Convolution (computer science); Classical orthogonal polynomials; Wilson polynomials; Lie superalgebra; Identity (music); Discrete orthogonal polynomials","routes":{"ca_aff":true,"ca_fund":true,"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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001375536,0.0002790425,0.0008915363,0.00004474323,0.0001591443,0.0001579683,0.0004853101,0.0001430469,0.003503173],"category_scores_gemma":[0.001408632,0.0001697676,0.0006679671,0.000140787,0.0001330986,0.0003750427,0.00008785589,0.0003476347,0.0003231177],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007031653,"about_ca_system_score_gemma":0.000137209,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001817999,"about_ca_topic_score_gemma":0.000001595978,"domain_scores_codex":[0.9973881,0.0001398178,0.001302184,0.0001854682,0.0006333807,0.0003510942],"domain_scores_gemma":[0.9906428,0.007619272,0.0007293435,0.0004945744,0.0003719692,0.0001420726],"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":[0.0001251265,0.0004235225,0.0001454441,0.000383175,0.0003086344,0.00000216613,0.0006551201,0.000006096614,0.002874113,0.9458259,0.0488053,0.0004453714],"study_design_scores_gemma":[0.001002615,0.0002110744,0.0001146557,0.0002781994,0.0002865325,0.00003808576,0.0003601862,0.000540342,0.002420084,0.9914418,0.003092945,0.0002134411],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8629959,0.000187516,0.1301333,0.001287009,0.0009479534,0.0008694605,0.0001328843,0.00003929961,0.00340669],"genre_scores_gemma":[0.9350839,0.00003760479,0.05358087,0.0007543301,0.004034956,0.00005193612,0.00001620988,0.0001255683,0.006314655],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07655246,"threshold_uncertainty_score":0.9974077,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04929839817370712,"score_gpt":0.3033089952404635,"score_spread":0.2540105970667563,"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."}}