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arXiv · 2407.17717

A conjecture of Gasper on $q$-ultraspherical polynomials

Dandan Chen·Siyu Yin
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Abstract

In this paper we establish $q$-orthogonality relation for the continuous $q$-ultraspherical polynomials, which was considered by Gasper. Additionally, we evaluate a new $q$-beta integral with several parameters.

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Dandan Chen, Siyu Yin. 2024-07-25. A conjecture of Gasper on $q$-ultraspherical polynomials. https://arxiv.org/abs/2407.17717

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