On asymptotic expansions for basic hypergeometric functions
Number Theory
2025-12-09 v3
Abstract
This paper establishes new results concerning asymptotic expansions of -series related to partial theta functions. We first establish a new method to obtain asymptotic expansions using a result of Ono and Lovejoy, and then build on these observations to obtain asymptotic expansions for related multi hypergeometric series.
Cite
@article{arxiv.2006.13052,
title = {On asymptotic expansions for basic hypergeometric functions},
author = {Alexander E. Patkowski},
journal= {arXiv preprint arXiv:2006.13052},
year = {2025}
}
Comments
Added details to the proof of Theorem 1.1