论文标题
M. Ismail的猜想的反例
A counterexample to a conjecture of M. Ismail
论文作者
论文摘要
在较早的工作中[K. Castillo等人，J。Math。肛门。 Appl。，514（2022）126358]，我们对M. Ismail的第一个（显然更容易）给出了积极的答案。在本说明中，我们提出了一个示例，该示例反驳了这种猜想的第二部分，因此此问题已绝对关闭。
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 $q$-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.
