Uniqueness theorem on meromorphic functions and their difference operators

被引：0
|
作者：
Liu, Dan [1 ]
Deng, Bingmao [1 ]
Fang, Mingliang [1 ]
机构：
[1] South China Agr Univ, Inst Appl Math, Guangzhou, Guangdong, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2018年
关键词：
Uniqueness; Meromorphic functions; Difference operators;
D O I：
10.1186/s13662-018-1878-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the uniqueness problems of meromorphic functions and their difference operators. Our main result is a difference analogue of a result of Jank-Mues-Volkmann, which is concerned with the uniqueness of an entire function sharing one finite value with its derivatives. Some recent papers studied the case of entire functions of finite order sharing a periodic small function tof. We consider the case of meromorphic functions of finite order sharing a polynomial, which is a more popular case. Examples are provided for our results.
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页数：27
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