Basic theory of finite-type relations between orthogonal polynomial sequences

被引：0

作者：

Ben Salah, Imed ^{[1
]}

机构：

[1] Univ Monastir, Fac Sci Monastir, Dept Math, Monastir 5019, Tunisia

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2022年 / 28卷 / 09期

关键词：

Orthogonal polynomials; finite-type relation; semiclassical character; extended connection coefficients; Primary: 33C45; Secondary: 42C05; N)-COHERENT PAIRS; (M;

D O I：

10.1080/10236198.2022.2119139

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A theory of finite-type relations between two orthogonal polynomial sequences is developed. In fact, we find necessary and sufficient conditions for the extended connection coefficients which should be fulfilled for a finite-type relation. Next, a simplification criterion is given and some applications in the domain of continuous, discrete and quantum semiclassical orthogonal polynomials are treated into detail.

引用

页码：1135 / 1156

页数：22

共 43 条

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