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).

引用

页码：523 / 532

页数：10

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