On inversion and connection coefficients for basic hypergeometric polynomials
Classical Analysis and ODEs
2023-02-01 v1 Number Theory
Abstract
In this paper, we propose a general method to express explicitly the inversion and the connection coefficients between two basic hypergeometric polynomial sets. As application, we consider some -orthogonal basic hypergeometric polynomials and we derive expansion formulae corresponding to all the families within the -Askey scheme.
Cite
@article{arxiv.1601.06122,
title = {On inversion and connection coefficients for basic hypergeometric polynomials},
author = {Hamza Chaggara and Mohamed Mabrouk},
journal= {arXiv preprint arXiv:1601.06122},
year = {2023}
}
Comments
15 pages