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arXiv · 2405.00325

Asymptotics of Saran's hypergeometric function $F_K$

Peng-Cheng Hang·Min-Jie Luo
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Abstract

In this paper, we first establish asymptotic expansions of the Humbert function $\Psi_1$ for one large variable. The resulting expansions are then used to derive an asymptotic expansion of Saran's hypergeometric function $F_K$ when two of its variables become simultaneously large.

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Peng-Cheng Hang, Min-Jie Luo. 2024-05-01. Asymptotics of Saran's hypergeometric function $F_K$. https://arxiv.org/abs/2405.00325

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