Recurrence relations for exceptional Hermite polynomials

被引：40

作者：

Gomez-Ullate, D. ^{[1
,2
]}

Kasman, A. ^{[3
]}

Kuijlaars, A. B. J. ^{[4
]}

Milson, R. ^{[5
]}

机构：

[1] Univ Complutense, Dept Fis Teor 2, E-28040 Madrid, Spain

[2] CSIC UAM UC3M UCM, Inst Ciencias Matemat, Madrid 28049, Spain

[3] Coll Charleston, Dept Math, Charleston, SC 29424 USA

[4] Katholieke Univ Leuven, Dept Math, B-3001 Louvain, Belgium

[5] Dalhousie Univ, Dept Math, Halifax, NS, Canada

来源：

JOURNAL OF APPROXIMATION THEORY | 2016年 / 204卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Exceptional orthogonal polynomials; Bispectral Darboux transformations; BISPECTRAL DARBOUX TRANSFORMATIONS; ORTHOGONAL POLYNOMIALS; OPERATORS; CHARLIER;

D O I：

10.1016/j.jat.2015.12.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The bispectral anti-isomorphism is applied to differential operators involving elements of the stabilizer ring to produce explicit formulas for all difference operators having any of the Hermite exceptional orthogonal polynomials as eigenfunctions with eigenvalues that are polynomials in x. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：1 / 16

页数：16

共 50 条

[31] Coefficients of Wronskian Hermite polynomials
Bonneux, Niels
Dunning, Clare
Stevens, Marco
STUDIES IN APPLIED MATHEMATICS, 2020, 144 (03) : 245 - 288
[32] Recursive Three-Term Recurrence Relations for the Jacobi Polynomials on a Triangle
Waldron, Shayne
CONSTRUCTIVE APPROXIMATION, 2011, 33 (03) : 405 - 424
[33] RECURRENCE RELATIONS FOR CONNECTION COEFFICIENTS BETWEEN 2 FAMILIES OF ORTHOGONAL POLYNOMIALS
RONVEAUX, A
ZARZO, A
GODOY, E
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1995, 62 (01) : 67 - 73
[34] Spreading lengths of Hermite polynomials
Sanchez-Moreno, P.
Dehesa, J. S.
Manzano, D.
Yanez, R. J.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 233 (09) : 2136 - 2148
[35] Asymptotics for a generalization of Hermite polynomials
Alfaro, Manuel
Pena, Ana
Rezola, M. Luisa
Jose Moreno-Balcazar, Juan
ASYMPTOTIC ANALYSIS, 2010, 66 (02) : 103 - 117
[36] New examples of Krall-Meixner and Krall-Hahn polynomials, with applications to the construction of exceptional Meixner and Laguerre polynomials
Duran, Antonio J.
JOURNAL OF APPROXIMATION THEORY, 2022, 275
[37] Convergence Rates of Exceptional Zeros of Exceptional Orthogonal Polynomials
Brian Simanek
Computational Methods and Function Theory, 2023, 23 : 629 - 649
[38] Convergence Rates of Exceptional Zeros of Exceptional Orthogonal Polynomials
Simanek, Brian
COMPUTATIONAL METHODS AND FUNCTION THEORY, 2023, 23 (04) : 629 - 649
[39] Matrix exceptional Laguerre polynomials
Koelink, E.
Morey, L.
Roman, P.
STUDIES IN APPLIED MATHEMATICS, 2024, 152 (02) : 778 - 809
[40] A Conjecture on Exceptional Orthogonal Polynomials
David Gómez-Ullate
Niky Kamran
Robert Milson
Foundations of Computational Mathematics, 2013, 13 : 615 - 666

← 1 2 3 4 5 →