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
收藏
页码：464 / 478
页数：15
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