Asymptotics of the confluent hypergeometric process with a varying external potential in the super-exponential region

Dan Dai, Luming Yao, Yu Zhai

In this paper, we investigate a determinantal point process on the interval $(-s,s)$, associated with the confluent hypergeometric kernel. Let ${\mathcal{K}}_s^{(\alpha ,\beta )}$ denote the tr…