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Asymptotics of Saran's hypergeometric function $F_K$

Published 1 May 2024 in math.CA | (2405.00325v1)

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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