{"id":"W4389196621","doi":"10.1063/5.0173787","title":"Matrix elements of <i>SO</i>(3) in <i>sl</i>3 representations as bispectral multivariate functions","year":2023,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Molecular spectroscopy and chirality","field":"Chemistry","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; American Heart Association; Centre National de la Recherche Scientifique; Université de Montréal; Japan Society for the Promotion of Science; Agence Nationale de la Recherche","keywords":"Mathematics; Algebra over a field; Recurrence relation; Kravchuk polynomials; Pure mathematics; Irreducibility; Orthogonal polynomials; Difference polynomials; Classical orthogonal polynomials; Discrete orthogonal polynomials; Gegenbauer polynomials; Combinatorics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001820202,0.0004531526,0.0002430761,0.0008319633,0.0004272549,0.0008200071,0.0005139695,0.0004222359,0.005841298],"category_scores_gemma":[0.0003898907,0.0001396662,0.0004824934,0.000811335,0.0009176876,0.001143871,0.0004057325,0.0007148791,0.0009091976],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004060614,"about_ca_system_score_gemma":0.000392654,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001806163,"about_ca_topic_score_gemma":0.001536786,"domain_scores_codex":[0.9999056,0.00001237159,0.000002645891,0.00001169154,0.00003246403,0.00003535362],"domain_scores_gemma":[0.9999032,0.00001650819,0.00002408677,0.00001431976,0.00001681419,0.00002512355],"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":[0.0001276368,0.00007964425,0.00158876,0.00008778599,0.00001317358,0.0003007606,0.0005460362,0.02675214,0.03249371,0.9082606,0.002081084,0.02766852],"study_design_scores_gemma":[0.00003664969,0.0000894339,0.005753263,0.00005224549,0.00002610547,0.0005417345,0.0005901722,0.3054041,0.04187119,0.6352776,0.01022219,0.000135284],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8709676,0.0001286998,0.09739623,0.0002585294,0.0000758458,0.00004762987,0.0003239113,0.0005607588,0.03024086],"genre_scores_gemma":[0.9779763,0.0001533125,0.01750765,0.00006438844,0.00002328197,0.00002231504,0.0001536968,0.0001333277,0.003965843],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005841298,"threshold_uncertainty_score":0.01954103,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02101600798734814,"score_gpt":0.3447876730921526,"score_spread":0.3237716651048045,"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."}}