Solution of an Open Problem about Two Families of Orthogonal Polynomials

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Author: Van Assche, W.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210070
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Solution of an Open Problem about Two Families of Orthogonal Polynomials / W. Van Assche // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 16 назв. — англ.

An open problem about two new families of orthogonal polynomials was posed by Alhaidari. Here, we will identify one of them as Wilson polynomials. The other family seems to be new, but we show that they are discrete orthogonal polynomials on a bounded countable set with one accumulation point at 0,...