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.

引用

页数：27

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