Entire functions sharing a small function with their two difference operators

Advances in Difference Equations

Feng L¹  Yanfeng Wang¹  Junfeng Xu² 

[1] College of Science, China University of Petroleum, Qingdao, P.R. China;Department of Mathematics, Wuyi University, Jiangmen, P.R. China

关键词: uniqueness;    entire functions;    difference operators;    Nevanlinna theory;    30D35;    30D30;    39A10;   

DOI  :  10.1186/s13662-017-1281-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we deduce a uniqueness result of entire functions that share a small entire function with their two difference operators, generalizing some previous theorems of (Farissi et al. in Complex Anal. Oper. Theory 10:1317-1327, 2015, Theorem 1.1) and (Chen and Li in Adv. Differ. Equ. 2014:311, 2014, Theorem 1.1) by omitting the assumption that the shared small entire function is periodic.

【 授权许可】

CC BY