Characterization of the Dunkl-classical symmetric orthogonal polynomials

被引：39
|
作者：
Ben Cheikh, Y. [1 ]
Gaied, M.
机构：
[1] Fac Sci Monastir, Dept Math, Monastir 5019, Tunisia
[2] Inst Preparatoire Etud Ingn, Dept Preparat Math Phys, Monastir 5019, Tunisia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 187卷 / 01期
关键词：
orthogonal polynomials; symmetric orthogonal polynomials; Dunkl operator; generalized hermite polynomials; generalized Gegenbauer polynomials; sieved ultraspherical polynomials;
D O I：
10.1016/j.amc.2006.08.108
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the notion of Dunk1-classical orthogonal polynomials. Then, we show that generalized Hermite and generalized Gegenbauer polynomials are the only Dunk1-classical symmetric orthogonal polynomials by solving a suitable differential-difference equation. (C) 2006 Elsevier Inc. All rights reserved.
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页码：105 / 114
页数：10
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