A conjecture of Gasper on $q$-ultraspherical polynomials
Classical Analysis and ODEs
2024-11-19 v3 Number Theory
Abstract
In this paper we establish -orthogonality relation for the continuous -ultraspherical polynomials, which was considered by Gasper. Additionally, we evaluate a new -beta integral with several parameters.
Cite
@article{arxiv.2407.17717,
title = {A conjecture of Gasper on $q$-ultraspherical polynomials},
author = {Dandan Chen and Siyu Yin},
journal= {arXiv preprint arXiv:2407.17717},
year = {2024}
}