A $q$-extension of a partial differential equation and the Hahn polynomials
Combinatorics
2018-05-21 v1 Analysis of PDEs
Complex Variables
Number Theory
Abstract
Using the theory of analytic functions of several complex variables, we prove that if an analytic function in several variables satisfies a system of -partial differential equations, then, it can be expanded in terms of the product of the homogeneous Hahn polynomials. Some non-trivial applications of this expansion theorem to -series are discussed.
Keywords
Cite
@article{arxiv.1805.07292,
title = {A $q$-extension of a partial differential equation and the Hahn polynomials},
author = {Zhi-Guo Liu},
journal= {arXiv preprint arXiv:1805.07292},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1805.02132 and arXiv:1709.06784