Some results on co-recursive associated Meixner and Charlier polynomials

被引：5

作者：

Letessier, J ^{[1
]}

机构：

[1] Univ Paris 07, Phys Theor & Hautes Energies Lab, UMR CNRS 7589, F-75251 Paris 05, France

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1999年 / 103卷 / 02期

关键词：

associated polynomials; difference equations;

D O I：

10.1016/S0377-0427(98)00269-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An explicit representation of the co-recursive associated Meixner polynomials is given in terms of hypergeometric functions. This representation allows to derive a generating function, the Stieltjes transform of the orthogonality measure and the fourth-order difference equation verified by these polynomials. Special attention is given to some simple limiting cases ocurring in the solution of the Chapman-Kolmogorov equation of linear birth and death processes. (C) 1999 Elsevier Science B.V. All rights reserved. AMS classification. 33C45; 33E30; 60J80.

引用

页码：323 / 335

页数：13

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