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arXiv · 2006.13052

On asymptotic expansions for basic hypergeometric functions

Alexander E. Patkowski
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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.

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Alexander E. Patkowski. 2020-06-23. On asymptotic expansions for basic hypergeometric functions. https://doi.org/10.1007/s11139-025-01279-0

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