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Asymptotics of the Humbert Function $\Psi_1$ for Two Large Arguments

Asymptotics of the Humbert Function $\Psi_1$ for Two Large Arguments

Recently, Wald and Henkel (2018) derived the leading-order estimate of the Humbert functions $\Phi_2$, $\Phi_3$ and $\Xi_2$ for two large arguments, but their technique cannot handle the Humbert function $\Psi_1$. In this paper, we establish the leading asymptotic behavior of the Humbert function $\Psi_1$ for two large arguments. Our proof …