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 ${}_1{F}_1(\alpha ;\gamma ;z):={\sum }_{n=0}^{\infty }\frac{(\alpha {)}_n}{n!(\gamma {)}_n}{z}^n$, where $α, γ, γ-α\not\in \mathb…