Peng-Cheng Hang

activity

20242026

most citedAsymptotics of the Humbert functions

Ψ_{1}

and

Ψ_{2}

1 citations · 2 across the 8 of their papers we have counts for

collaborators

Showing 2025Show all

3 papers · 1 filter

math.CA2025

Fourier transform pairs and Eisenstein-type series related to Jacobi elliptic functions

Peng-Cheng Hang, Alexey Kuznetsov

We compute Fourier transforms of functions expressed as a ratio of one of the Jacobi elliptic functions divided by $sinh (π x)$ or $cosh (π x)$ . In many cases, the resulting Fourier…

math.CA2025

Asymptotic expansions of the Humbert Function $Φ_{1}$ and their applications

Peng-Cheng Hang, Liangjian Hu, Min-Jie Luo

This paper systematically studies the asymptotics of Humbert's bivariate confluent hypergeometric function $Φ_{1} [a, b; c; x, y]$ . Specifically, we establish explicit asymptotic expansi…

math.CA2025★ 1 cited

Asymptotics of the Humbert functions $Ψ_{1}$ and $Ψ_{2}$

Peng-Cheng Hang, Malte Henkel, Min-Jie Luo

A compilation of new results on the asymptotic behaviour of the Humbert functions $Ψ_{1}$ and $Ψ_{2}$ , and also on the Appell function $F_{2}$ , is presented. As a by-product, we confirm…

Fourier transform pairs and Eisenstein-type series related to Jacobi elliptic functions

Asymptotic expansions of the Humbert Function Φ1​ and their applications

Asymptotics of the Humbert functions Ψ1​ and Ψ2​

Asymptotic expansions of the Humbert Function $Φ_{1}$ and their applications

Asymptotics of the Humbert functions $Ψ_{1}$ and $Ψ_{2}$