{"id":"W1950077825","doi":"10.1016/j.jat.2015.07.002","title":"Zeros of exceptional Hermite polynomials","year":2015,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":43,"is_retracted":false,"has_abstract":false,"ca_institutions":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Hermite polynomials; Conjecture; Partition (number theory); Zero (linguistics); Simple (philosophy); Polynomial; Orthogonal polynomials; Pure mathematics; Hermite interpolation; Combinatorics; Mathematical analysis","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":[0.001638309,0.001120311,0.001257939,0.004155484,0.002154529,0.003953185,0.001396115,0.001405359,0.006021275],"category_scores_gemma":[0.008197526,0.0007555773,0.0008068659,0.001663547,0.005331199,0.004016526,0.003585507,0.002851298,0.0009655816],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001156983,"about_ca_system_score_gemma":0.0006503989,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006554714,"about_ca_topic_score_gemma":0.0006676608,"domain_scores_codex":[0.9989727,0.00029672,0.00004959006,0.0001068523,0.0002899051,0.0002844486],"domain_scores_gemma":[0.9959673,0.001600139,0.0006262554,0.0003159007,0.0004516226,0.001038806],"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":[0.0001682232,0.00004930493,0.000610134,0.00003681039,0.00001466677,0.0002770839,0.0002657283,0.001331465,0.001945748,0.9913883,0.0007088514,0.003203703],"study_design_scores_gemma":[0.00004681975,0.00003557357,0.0006019121,0.0000217215,0.00001389743,0.000386,0.0001681551,0.01375368,0.001172148,0.982874,0.0008898157,0.0000363568],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8696449,0.0004984548,0.07392436,0.001491718,0.0004607151,0.00002947802,0.0001822599,0.0003294307,0.05343872],"genre_scores_gemma":[0.9898409,0.0001651851,0.003215983,0.00009648348,0.0003230195,0.00001448722,0.00008064042,0.00006651303,0.006196833],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006021275,"threshold_uncertainty_score":0.02014315,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0222792757638888,"score_gpt":0.263786541462833,"score_spread":0.2415072656989442,"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."}}