Peng-Cheng Hang

collaborators

3 papers

math.CA2025

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…

math.NT2024

Note on the $a$ -points of the Riemann zeta function

Peng-Cheng Hang, Min-Jie Luo

For any $a \in C$ , the zeros of $ζ (s) - a$ , denoted by $ρ_{a} = β_{a} + i γ_{a}$ , are called $a$ -points of the Riemann zeta function $ζ (s)$ . In this paper, we reformulate some basic resu…

math.CA2024

Asymptotics of Saran's hypergeometric function $F_{K}$

Peng-Cheng Hang, Min-Jie Luo

In this paper, we first establish asymptotic expansions of the Humbert function $Ψ_{1}$ for one large variable. The resulting expansions are then used to derive an asymptotic expansi…

Asymptotics of the Humbert functions Ψ1​ and Ψ2​

Note on the a-points of the Riemann zeta function

Asymptotics of Saran's hypergeometric function FK​

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

Note on the $a$ -points of the Riemann zeta function

Asymptotics of Saran's hypergeometric function $F_{K}$