%0 Journal Article
%T 整函数与其差分多项式的唯一性<br>Uniqueness of Entire Functions That Share Small Function with Their Difference Polynomials
%A 黄小皇
%A 刘丹
%J Pure Mathematics
%P 362-369
%@ 2160-7605
%D 2019
%I Hans Publishing
%R 10.12677/PM.2019.93048
%X <div style=\"text-align:justify;\">
	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， <span>f(z)</span>与其差分多项式<span>g(z)</span>IM分担一个小函数a<span>(z)</span>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<span>f(z)</span>与其差分多项式<span>g(z</span>IM分担一个小函数<span>a</span><span>(z)</span>，我们同样得到了相关的结果。<br />
In this paper, we study the uniqueness of difference operators about transcendental entire function <span>f(z)</span> with a Borel entire exceptional function, which shares a small function <span>a</span><span>(z)</span> with its difference polynomial. Furthermore, under the above assumption, we replace the condition “Borel entire exceptional function” by “<span>δ(0,f)＞0</span>”，and get the same result when <span>f(z)</span> shares <span>a</span><span>(z)</span> CM with its difference polynomial.
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%K 整函数，分担小函数，差分多项式<br>Entire Function
%K Shared Small Function
%K Difference Polynomials
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=30321