{"id":"W3113129989","doi":"10.1007/978-3-030-75425-9_10","title":"Spectral Theory of Exceptional Hermite Polynomials","year":2021,"lang":"en","type":"book-chapter","venue":"Operator theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Hermite polynomials; Mathematics; Orthogonal polynomials; Pure mathematics; Equivalence (formal languages); Polynomial; Hermite interpolation; Completeness (order theory); Algebra over a field; Class (philosophy); Mathematical analysis; Computer science","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000311901,0.0005744778,0.000518884,0.001336818,0.001176103,0.002690349,0.0006705655,0.0007602105,0.01112309],"category_scores_gemma":[0.0008091666,0.0002721295,0.0003429985,0.001357513,0.001991212,0.00322039,0.001035965,0.002429493,0.003536417],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001256845,"about_ca_system_score_gemma":0.0005510298,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006717021,"about_ca_topic_score_gemma":0.0008070274,"domain_scores_codex":[0.9997819,0.0000473565,0.000006267142,0.00002459906,0.0001052421,0.00003462777],"domain_scores_gemma":[0.9997788,0.00007844614,0.00001601216,0.00003213993,0.00006232895,0.00003232356],"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":[0.000001950172,0.000004582872,0.000009194886,0.00001294742,6.838252e-7,0.000009841294,0.00004855284,0.0001768979,0.0001454199,0.9911623,0.004011231,0.004416405],"study_design_scores_gemma":[0.000001251413,0.000003510827,0.00005527277,0.0000200009,0.000001311748,0.00008868089,0.00005161406,0.001426343,0.0002419318,0.9546137,0.04349141,0.000004930967],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.01341527,0.006564752,0.05815502,0.001917488,0.001352263,0.000008737981,0.0001042706,0.0002540207,0.9182282],"genre_scores_gemma":[0.3257672,0.01098985,0.01963177,0.0008742217,0.003169239,0.00004260124,0.0002795464,0.0003279164,0.6389176],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01112309,"threshold_uncertainty_score":0.03721046,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05112882590861621,"score_gpt":0.2867697824107324,"score_spread":0.2356409565021162,"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."}}