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Entire functions sharing a small function with their two difference operators.
Advances in Difference Equations ( IF 4.1 ) Pub Date : 2017-08-22 , DOI: 10.1186/s13662-017-1281-4
Feng Lü 1 , Yanfeng Wang 1 , Junfeng Xu 2
Affiliation  

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.

中文翻译:

整个函数与其两个差值运算符共享一个小函数。

在本文中,我们推导了与两个差分运算符共享一个较小整体函数的整体函数的唯一性结果,并归纳了(Farissi等人在Complex Anal.Oper.Theory 10:1317-1327,2015,Theorem 1.1)和(Chen and Li in Adv。Differ。Equ。2014:311,2014,Theorem 1.1)中,省略了共享的较小整体函数是周期性的假设。
更新日期:2019-11-01
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