ENTIRE FUNCTIONS SHARING ONE SMALL FUNCTION CM WITH THEIR SHIFTS AND DIFFERENCE OPERATORS

被引：1
|
作者：
崔宁
陈宗煊
机构：
[1] SchoolofMathematicalSciences,SouthChinaNormalUniversity
来源：
Acta Mathematica Scientia(English Series) | 2017年 / 37卷 / 03期
关键词：
D O I：
暂无
中图分类号：
O174.52 [整数函数论、亚纯函数论（半纯函数论）];
学科分类号：
摘要：
In this article, we mainly devote to proving uniqueness results for entire functions sharing one small function CM with their shift and difference operator simultaneously. Let f（z） be a nonconstant entire function of finite order, c be a nonzero finite complex constant,and n be a positive integer. If f（z）, f（z + c）, and ?c~n f（z） share 0 CM, then f（z + c） ≡ Af（z）,where A（= 0） is a complex constant. Moreover, let a（z）, b（z）( ≡ 0) ∈ S（f） be periodic entire functions with period c and if f（z）-a（z）, f（z + c）-a（z）, ?c~n f（z）-b（z） share 0 CM, then f（z + c） ≡ f（z）.
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收藏
页码：786 / 798
页数：13
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