On the Askey--Wilson type integrals
Combinatorics
2023-05-30 v4
Abstract
The Askey--Wilson integral is very important in the theory of orthogonal polynomials. Liu's integral is a generalization of the Askey--Wilson integral with many parameters. With the help of the series rearrangement method, we give the elementary proof of them. Furthermore, we establish two new Askey--Wilson type integrals in the similar way and find a generalization of a known transformation formula containing three series.
Cite
@article{arxiv.1912.01407,
title = {On the Askey--Wilson type integrals},
author = {Chuanan Wei},
journal= {arXiv preprint arXiv:1912.01407},
year = {2023}
}