Multiple Askey-Wilson polynomials and related basic hypergeometric multiple orthogonal polynomials
Classical Analysis and ODEs
2020-10-07 v1
Abstract
We first show how one can obtain Al-Salam--Chihara polynomials, continuous dual -Hahn polynomials, and Askey--Wilson polynomials from the little -Laguerre and the little -Jacobi polynomials by using special transformations. This procedure is then extended to obtain multiple Askey--Wilson, multiple continuous dual -Hahn, and multiple Al-Salam--Chihara polynomials from the multiple little -Laguerre and the multiple little -Jacobi polynomials.
Cite
@article{arxiv.1904.01252,
title = {Multiple Askey-Wilson polynomials and related basic hypergeometric multiple orthogonal polynomials},
author = {Jean Paul Nuwacu and Walter Van Assche},
journal= {arXiv preprint arXiv:1904.01252},
year = {2020}
}
Comments
25 pages, 1 figure