New proofs of theorems on q-orthogonal functions
Classical Analysis and ODEs
2024-08-09 v1 Number Theory
Abstract
In this paper, we establish a -integral formula by using the orthogonality relation, and also provide a new proof of the -orthogonality relation for the continuous -ultraspherical polynomials. A new -beta integral with five parameters is evaluated.
Keywords
Cite
@article{arxiv.2408.04444,
title = {New proofs of theorems on q-orthogonal functions},
author = {Dandan Chen and Zhiguo Liu},
journal= {arXiv preprint arXiv:2408.04444},
year = {2024}
}