On asymptotic expansions for basic hypergeometric functions

Abstract

This paper establishes new results concerning asymptotic expansions of $q$-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.

Added details to the proof of Theorem 1.1

References in corpus (1)

• q-series and L-functions related to half-derivatives of the Andrews--Gordon identity