Meromorphic Functions Sharing Three Values with their Difference Operators

被引：31

作者：

Lu, Feng ^{[1
]}

Lu, Weiran ^{[1
]}

机构：

[1] China Univ Petr, Coll Sci, Qingdao 266580, Shandong, Peoples R China

来源：

COMPUTATIONAL METHODS AND FUNCTION THEORY | 2017年 / 17卷 / 03期

关键词：

Uniqueness problem; Difference operator; Meromorphic function;

D O I：

10.1007/s40315-016-0188-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we focus on a conjecture on the uniqueness problem of meromorphic functions sharing three distinct values with their difference operators, which is mentioned in Chen and Yi (Results Math 63, 557-565, 2013). We prove that the conjecture is true for meromorphic functions of finite order. Furthermore, a result of Zhang and Liao (Sci China Math 57, 2143-2152, 2014) is generalized from entire functions to meromorphic functions.

引用

页码：395 / 403

页数：9

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