A counterexample to a conjecture of M. Ismail
Classical Analysis and ODEs
2022-06-20 v1
Abstract
In an earlier work [K. Castillo et al., J. Math. Anal. Appl., 514 (2022) 126358], we give positive answer to the first, and apparently more easy, part of a conjecture of M. Ismail concerning the characterization of the continuous -Jacobi polynomials, Al-Salam-Chihara polynomials or special or limiting cases of them. In this note we present an example that disproves the second part of such a conjecture, and so this issue is definitively closed.
Keywords
Cite
@article{arxiv.2206.08375,
title = {A counterexample to a conjecture of M. Ismail},
author = {K. Castillo and D. Mbouna},
journal= {arXiv preprint arXiv:2206.08375},
year = {2022}
}