Liangjian Hu

collaborators

2 papers

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.CA2024

Complete asymptotic expansions of the Humbert function $Ψ_{1}$ for two large arguments

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

In our recent work [SIGMA \textbf{20} (2024), 074, 13 pages], the leading behaviour of the Humbert function $Ψ_{1} [a, b; c, c^{'}; x, y]$ when $x \to \infty$ and $y \to + \infty$ has been derive…

Asymptotic expansions of the Humbert Function Φ1​ and their applications

Complete asymptotic expansions of the Humbert function Ψ1​ for two large arguments

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

Complete asymptotic expansions of the Humbert function $Ψ_{1}$ for two large arguments