A Note on Generalized $q$-Difference Equations and Their Applications Involving $q$-Hypergeometric Functions
Combinatorics
2020-11-03 v1 Functional Analysis
Number Theory
Abstract
In this paper, we use two -operators and to derive two potentially useful generalizations of the -binomial theorem, a set of two extensions of the -Chu-Vandermonde summation formula and two new generalizations of the Andrews-Askey integral by means of the -difference equations. We also briefly describe relevant connections of various special cases and consequences of our main results with a number of known results.
Cite
@article{arxiv.2010.15118,
title = {A Note on Generalized $q$-Difference Equations and Their Applications Involving $q$-Hypergeometric Functions},
author = {Hari Mohan Srivastava and Jian Cao and Sama Arjika},
journal= {arXiv preprint arXiv:2010.15118},
year = {2020}
}
Comments
17 pages