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
收藏
页码：1135 / 1156
页数：22
相关论文
共 43 条
12345