1 citations · 2 across the 7 of their papers we have counts for
7 papers
Product formulas for multivariate and matrix-variate confluent hypergeometric functions
Min-Jie Luo, Shu-Ying Shen
In this note, we revisit one of Erdélyi's product formulas for the univariate confluent hypergeometric function and extend it to the multivariate confluent hypergeome…
Multivariate Laguerre polynomials: new results and insights
Liang-Jia Guo, Min-Jie Luo, Ravinder Krishna Raina +1
In this paper, we study various properties of Erdélyi's multivariate Laguerre polynomials including their generating functions, product f…
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…
Note on the -points of the Riemann zeta function
Peng-Cheng Hang, Min-Jie Luo
For any , the zeros of , denoted by , are called -points of the Riemann zeta function . In this paper, we reformulate some basic resu…
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…
Asymptotics of the Humbert Function for Two Large Arguments
Peng-Cheng Hang, Min-Jie Luo
Recently, Wald and Henkel (2018) derived the leading-order estimate of the Humbert functions , and for two large arguments, but their technique cannot handle the H…