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

[1] The Adelic Grassmannian and Exceptional Hermite Polynomials
Kasman, Alex
Milson, Robert
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2020, 23 (04)
[2] Recurrence Relations of Exceptional Laurent Biorthogonal Polynomials
Luo, Yu
Tsujimoto, Satoshi
Yang, Hao
CONSTRUCTIVE APPROXIMATION, 2024,
[3] Recurrence Relations for Wronskian Hermite Polynomials
Bonneux, Niels
Stevens, Marco
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2018, 14
[4] Zeros of exceptional Hermite polynomials
Kuijlaars, A. B. J.
Milson, R.
JOURNAL OF APPROXIMATION THEORY, 2015, 200 : 28 - 39
[5] Exceptional Charlier and Hermite orthogonal polynomials
Duran, Antonio J.
JOURNAL OF APPROXIMATION THEORY, 2014, 182 : 29 - 58
[6] The Adelic Grassmannian and Exceptional Hermite Polynomials
Alex Kasman
Robert Milson
Mathematical Physics, Analysis and Geometry, 2020, 23
[7] Higher order recurrence relation for exceptional Charlier, Meixner, Hermite and Laguerre orthogonal polynomials
Duran, Antonio J.
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2015, 26 (05) : 357 - 376
[8] THE ENERGY FUNCTION WITH RESPECT TO THE ZEROS OF THE EXCEPTIONAL HERMITE POLYNOMIALS
Horvath, Agota P.
ACTA MATHEMATICA SCIENTIA, 2017, 37 (05) : 1483 - 1496
[9] Spin and pseudospin symmetries in radial Dirac equation and exceptional hermite polynomials
Yesiltas, Ozlem
Ozcan, Aynur
EUROPEAN PHYSICAL JOURNAL PLUS, 2021, 136 (10)
[10] ON ORTHOGONAL POLYNOMIALS WITH PERTURBED RECURRENCE RELATIONS
MARCELLAN, F
DEHESA, JS
RONVEAUX, A
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1990, 30 (02) : 203 - 212

← 1 2 3 4 5 →