Meromorphic Functions Sharing Three Values with their Difference Operators

被引：30
|
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.
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页码：395 / 403
页数：9
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