标题:
亚纯函数与微分多项式分担小函数的唯一性Uniqueness of Meromorphic Function and Its Differential Polynomial Sharing Small Functions
作者:
杨城威, 刘丹
关键字:
亚纯函数, 分担函数, 微分多项式, 唯一性Meromorphic Function, Sharing Function, Differential Polynomial, Uniqueness
期刊名称:
《Pure Mathematics》, Vol.5 No.5, 2015-09-21
摘要:
本文研究了亚纯函数及其微分多项式分担两个小函数的唯一性定理，证明了：设f(z)是开平面上满足 的非常数亚纯函数，n是正整数，a(z)和b(z)为f(z)的两个相互判别的小函数， ，其中是f(z)的小函数。若f(z)和F(z)几乎CM分担a(z)和b(z)，则。这个结果改进了已有的一些结果。
In this paper, we study the uniqueness of meromorphic function and its differential polynomial sharing two small functions, and prove the follow theory. Let f(z) be a nonconstant meromor-phic function satisfying, let n be an integer and let a(z) and b(z) be two distinct small functions related to f(z) . Let, where are small functions related to f(z) . If f(z) and F(z) share a(z) and b(z) CM almost, then.Thus, this result improves some existing results.