Unicity of Entire Functions Concerning Their Shifts and Derivatives

被引：4
|
作者：
Huang, Xiaohuang [1 ]
Fang, Mingliang [1 ]
机构：
[1] Hangzhou Dianzi Univ, Dept Math, Hangzhou 310012, Peoples R China
来源：
COMPUTATIONAL METHODS AND FUNCTION THEORY | 2021年 / 21卷 / 03期
关键词：
Unicity; Entire functions; Shifts; Derivatives;
D O I：
10.1007/s40315-020-00358-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the unicity of entire functions concerning their shifts and derivatives and prove: Let f be a non-constant entire function of hyper-order less than 1, let c be a non-zero finite value, and let a, b be two distinct finite values. If f '(z) and f(z+c) share a, b IM, then f '(z) equivalent to f(z+c). This improves some results due to Qi and Yang (Comput Methods Funct Theory 20:159-178, 2020).
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页码：523 / 532
页数：10
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