1 citations · 1 across the 7 of their papers we have counts for
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Equal-Phase Monotonicity for Weighted Jacobi-Radau Functions and Jacobi Lebesgue Constants
K. Castillo, P. -C. Hang
For the Jacobi family with parameters , , we prove a continuous comparison theorem for the associated weighted Jacobi--Radau functions. When two consecutive funct…
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 or . In many cases, the resulting Fourier…
Asymptotic expansions of the Humbert Function and their applications
Peng-Cheng Hang, Liangjian Hu, Min-Jie Luo
This paper systematically studies the asymptotics of Humbert's bivariate confluent hypergeometric function . Specifically, we establish explicit asymptotic expansi…
Asymptotics of the Humbert functions and
Peng-Cheng Hang, Malte Henkel, Min-Jie Luo
A compilation of new results on the asymptotic behaviour of the Humbert functions and , and also on the Appell function , is presented. As a by-product, we confirm…
Complete asymptotic expansions of the Humbert function 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 when and has been derive…
Asymptotics of Saran's hypergeometric function
Peng-Cheng Hang, Min-Jie Luo
In this paper, we first establish asymptotic expansions of the Humbert function for one large variable. The resulting expansions are then used to derive an asymptotic expansi…