Some generalized hypergeometric d-orthogonal polynomial sets

被引：20

作者：

Cheikh, Y. Ben ^{[2
]}

Ouni, A. ^{[1
]}

机构：

[1] Inst Preparatoire Etud Ingn Monastir, Monastir 5019, Tunisia

[2] Fac Sci Monastir, Dept Math, Monastir 5019, Tunisia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 343卷 / 01期

关键词：

generalized hypergeometric polynomials; d-orthogonal polynomials; continuous dual Hahn polynomials; dual Hahn polynomials; Meixner polynomials; Meixner-Pollaczek polynomials; Krawtchouk polynomials; Laguerre polynomials;

D O I：

10.1016/j.jmaa.2008.01.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we characterize the d-orthogonal polynomial sets given by their explicit expressions in a specific basis. As application, we consider the generalized hypergeometric case to characterize d-orthogonal polynomial sets of Laguerre type, Meixner type, Meixner-Pollaczek type, Krawtchouk type, continuous dual Hahn type, and dual Hahn type. For d = 1, we obtain a unification of some characterization theorems in the orthogonal polynomials theory. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：464 / 478

页数：15

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