Xudan Luo

most citedObliquely interacting solitary waves and wave wakes in free-surface flows

3 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

nlin.PS2024★ 3 cited

Obliquely interacting solitary waves and wave wakes in free-surface flows

Lei Hu, Xudan Luo, Zhan Wang

This paper investigates the weakly nonlinear isotropic bi-directional Benney--Luke (BL) equation, which is used to describe oceanic surface and internal waves in shallow water, wit…

math.CA2015

On the zeros of Confluent Hypergeometric Functions

Wei-Chuan Lin, Xu-Dan Luo

In this paper, we study the zero sets of the confluent hypergeometric function $_{1} F_{1} (α; γ; z) := \sum_{n = 0}^{\infty} \frac{( α ) _{n}}{n ! ( γ ) _{n}} z^{n}$ , where $α, γ, γ-α\not\in \mathb…

math.CV2015★ 1 cited

Some new properties of Confluent Hypergeometric Functions

Xu-Dan Luo, Wei-Chuan Lin

The confluent hypergeometric functions (the Kummer functions) defined by $_{1} F_{1} (α; γ; z) := \sum_{n = 0}^{\infty} \frac{( α ) _{n}}{n ! ( γ ) _{n}} z^{n} (γ \neq = 0, - 1, - 2, \dots)$ , which are…