{"id":"W3036642622","doi":"10.1090/proc/15225","title":"An algebraic description of the bispectrality of the biorthogonal rational functions of Hahn type","year":2020,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Biorthogonal system; Pure mathematics; Type (biology); Algebra over a field; Rational function; Orthogonal polynomials; Computer science","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":[0.000368969,0.0005687363,0.0002749814,0.001401505,0.0005991149,0.001887778,0.0006061193,0.0004490392,0.00994434],"category_scores_gemma":[0.0009781161,0.000206709,0.0004110117,0.0007140426,0.001563285,0.002056841,0.0007526073,0.001184805,0.002208789],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008143461,"about_ca_system_score_gemma":0.000330036,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008969239,"about_ca_topic_score_gemma":0.0006880829,"domain_scores_codex":[0.9997042,0.00004532127,0.00001449244,0.0000510461,0.0001297712,0.0000551548],"domain_scores_gemma":[0.9997163,0.00006602743,0.00003501798,0.00005644449,0.00009187481,0.0000342787],"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":[0.00001435274,0.000006087912,0.0000416456,0.00001226501,0.000001316618,0.00004773535,0.00006531068,0.0006116573,0.001917554,0.9905176,0.0008339234,0.005930549],"study_design_scores_gemma":[0.00001430105,0.0000364195,0.0005450937,0.00001832622,0.000007644426,0.0005150322,0.0001998127,0.03227431,0.005501869,0.9332458,0.02760573,0.00003573879],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1413863,0.0006525155,0.5299044,0.0008391127,0.0006013708,0.00007518799,0.0005019821,0.0007523181,0.3252869],"genre_scores_gemma":[0.868492,0.0006517367,0.07596596,0.0003420259,0.0003925718,0.00007452048,0.0002650533,0.0006055125,0.05321058],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00994434,"threshold_uncertainty_score":0.03326714,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05539063302190737,"score_gpt":0.2909810822990535,"score_spread":0.2355904492771461,"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."}}