1 citations · 2 across the 7 of their papers we have counts for
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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…
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…
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…