Basic theory of finite-type relations between orthogonal polynomial sequences

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 applicati...

Full description

Saved in:
Bibliographic Details
Published in:Journal of difference equations and applications 2022-09, Vol.28 (9), p.1135-1156
Main Author: Salah, Imed Ben
Format: Article
Language:English
Subjects:
extended connection coefficients
finite-type relation
Orthogonal polynomials
Polynomials
Primary: 33C45
Secondary: 42C05
semiclassical character
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1023-6198
1563-5120
DOI:10.1080/10236198.2022.2119139