Orthogonal Polynomials of Askey-Wilson Type
Classical Analysis and ODEs
2022-05-12 v1
Abstract
We study two families of orthogonal polynomials. The first is a finite family related to the Askey-Wilson polynomials but the orthogonality is on the real line. A limiting case of this family is an infinite system of orthogonal polynomials whose moment problem is indeterminate. We provide several orthogonality measures for the infinite family and derive their Plancherel-Rotach asymptotics.
Cite
@article{arxiv.2205.05280,
title = {Orthogonal Polynomials of Askey-Wilson Type},
author = {Mourad E. H. Ismail and Ruiming Zhang and Keru Zhou},
journal= {arXiv preprint arXiv:2205.05280},
year = {2022}
}
Comments
26 pages