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
摘要:
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。
Abstract:
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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