Fourth-order difference equation for the associated Meixner and Charlier polynomials

被引：13

作者：

Letessier, J

Ronveaux, A

Valent, G

机构：

[1] UNIV PARIS 07, PHYS THEOR & HAUTES ENERGIES LAB, CNRS, UA 280, F-75251 PARIS 05, FRANCE

[2] FAC UNIV NOTRE DAME PAIX, B-5000 NAMUR, BELGIUM

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1996年 / 71卷 / 02期

关键词：

associated polynomials; difference equations;

D O I：

10.1016/0377-0427(96)87163-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An explicit representation of the associated Meixner polynomials (with a real association parameter gamma greater than or equal to 0) is given in terms of hypergeometric functions. This representation allows to derive the fourth-order difference equation verified by these polynomials. Appropriate limits give the fourth-order difference equation for the associated Charlier polynomials and the fourth-order differential equations for the associated Laguerre and Hermite polynomials.

引用

页码：331 / 341

页数：11

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