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整函数与其差分多项式的唯一性
Uniqueness of Entire Functions That Share Small Function with Their Difference Polynomials

DOI: 10.12677/PM.2019.93048, PP. 362-369

Keywords: 整函数,分担小函数,差分多项式
Entire Function
, Shared Small Function, Difference Polynomials

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Abstract:

本文研究关于涉及有穷级超越整函数f(z)在有一个Borel整例外函数的条件下, f(z)与其差分多项式g(z)IM分担一个小函数a(z)的唯一性问题。进一步在上述前提下,把条件“Borel整例外函数”改为“δ(0,f)>0”,且f(z)与其差分多项式g(zIM分担一个小函数a(z),我们同样得到了相关的结果。
In this paper, we study the uniqueness of difference operators about transcendental entire function f(z) with a Borel entire exceptional function, which shares a small function a(z) with its difference polynomial. Furthermore, under the above assumption, we replace the condition “Borel entire exceptional function” by “δ(0,f)>0”,and get the same result when f(z) shares a(z) CM with its difference polynomial.

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