$q$-difference equations satisfied by the universal mock theta functions
Classical Analysis and ODEs
2023-12-29 v3
Abstract
In this paper, we give fundamental solutions of some -difference equations satisfied by the universal mock theta functions and the higher level Appell functions. As an application, we provide an alternative proof of the representation formulas of the universal mock theta functions and the higher level Appell functions using Zwegers' -function.
Cite
@article{arxiv.2305.12754,
title = {$q$-difference equations satisfied by the universal mock theta functions},
author = {Satoshi Tsuchimi},
journal= {arXiv preprint arXiv:2305.12754},
year = {2023}
}
Comments
9 pages, 1 figure