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<p>This paper establishes new results concerning asymptotic expansions of <i>q</i>-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.</p>

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On asymptotic expansions for basic hypergeometric functions

  • 期刊论文

  • 发表日期：

    2025年12月8日

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  • Alexander E. Patkowski

摘要

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.