Higher order recurrence relation for exceptional Charlier, Meixner, Hermite and Laguerre orthogonal polynomials

被引：33

作者：

Duran, Antonio J. ^{[1
]}

机构：

[1] Univ Seville, Dept Anal Matemat, E-41080 Seville, Spain

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2015年 / 26卷 / 05期

关键词：

differential operators; Hermite polynomials; difference operators; recurrence relations; orthogonal polynomials; Laguerre polynomials; Meixner polynomials; Charlier polynomials; exceptional orthogonal polynomial; 33E30; 33C45; 42C05; DIFFERENCE-EQUATIONS; FAMILIES; SYSTEMS;

D O I：

10.1080/10652469.2015.1009455

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove in a constructing way that exceptional Charlier, Meixner, Hermite and Laguerre polynomials satisfy higher order recurrence relations. Our conjecture is that the recurrence relations provided in this paper have minimal order.

引用

页码：357 / 376

页数：20

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