The authors thank the referee for valuable comments. The work of the first author is supported by NSF of Hunan (No. 2020JJ6038), the Scientific Research Fund of Hunan Provincial Education Department (20A070), and the Application-Oriented Characterized Disciplines, Double First-Class University Project of Hunan Province (Xiangjiaotong [2018]469).
机构署名：
本校为第一机构
院系归属：
数学与统计学院
摘要：
In this article, we consider the family of functions f meromorphic in the unit disk
$${\mathbb D}=\{z:\,|z| < 1\}$$
with a pole at the point
$$z=p$$
, a Taylor expansion
$$\begin{aligned} f(z)= z+\sum _{k=2}^{\infty } a_kz^k, \quad |z|
