ENTIRE FUNCTIONS SHARING A SMALL ENTIRE FUNCTION WITH THEIR DIFFERENCE OPERATORS

被引：0
|
作者：
Zhang, J. [1 ]
Kang, H. Y. [1 ]
Liao, L. W. [2 ]
机构：
[1] China Univ Min & Technol, Coll Sci, Xuzhou 221116, Peoples R China
[2] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2015年 / 41卷 / 05期
关键词：
Entire function; difference equation; small function; MEROMORPHIC FUNCTIONS; EQUATIONS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we mainly investigate the uniqueness of the entire function sharing a small entire function with its high difference operators. We obtain a result, which can give a negative answer to an uniqueness question relate to the Bruck conjecture dealt by Liu and Yang. Meanwhile, we also establish a difference analogue of the Bruck conjecture for entire functions of order less than 2, which improves some results obtained by Liu and Yang.
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页码：1121 / 1129
页数：9
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