Some symmetric semi-classical orthogonal polynomials of class 0 ≤ s ≤ 5

被引：3

作者：

Atia, MJ ^{[1
]}

机构：

[1] Fac Sci Gabes, Gabes, Tunisia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2006年 / 17卷 / 07期

关键词：

orthogonal polynomials; semi-classical linear functionals; sigma-operator; Christoffel-Darboux formula;

D O I：

10.1080/10652460600725085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The system fulfilled by symmetric semi-classical orthogonal polynomial sequences of class s = 2 is not linear and has not been sorted out. Alaya and Bouras [Alaya, J. and Bouras B., Symmetric semi-classical forms of class s = 2. Integral Transforms and Special Functions , in press.] used Hankel determinants to give only one case of these sequences. In this paper, we present a method which investigates not only this previous case, but also gives new ones of class s >= 2.

引用

页码：469 / 483

页数：15

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