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
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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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页码:786 / 798
页数:13
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