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arXiv · 2408.04444

New proofs of theorems on q-orthogonal functions

Dandan Chen·Zhiguo Liu
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Abstract

In this paper, we establish a $q$-integral formula by using the orthogonality relation, and also provide a new proof of the $q$-orthogonality relation for the continuous $q$-ultraspherical polynomials. A new $q$-beta integral with five parameters is evaluated.

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Dandan Chen, Zhiguo Liu. 2024-08-08. New proofs of theorems on q-orthogonal functions. https://arxiv.org/abs/2408.04444

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