涉及公共值和公共值集的亚纯函数的正规族

Normal Families of Meromorphic Functions Concerning Shared Values and Shared Sets

2007年刘晓俊与庞学诚首先研究了亚纯函数及其导函数分担1个具有3个元素的公共值集的正规族问题。2011年刘晓毅与常建明推广了刘晓俊与庞学诚的相应结果。本文将在刘晓毅与常建明的有关结果基础上,进一步研究亚纯函数及其导函数分担公共值集的正规族问题。本文结果进一步推广了刘晓俊与庞学诚以及刘晓毅与常建明的有关结果。

Liu Xiaojun and Pang Xuecheng firstly study the question of normal families of meromorphic functions sharing a set consisting of three finite values with their derivatives in 2007. In 2011, Liu Xiaoyi and Chang Jianming extended the corresponding results by Liu Xiaojun and Pang Xuecheng. Based upon the corresponding results by Liu Xiaoyi and Chang Jianming, we deeply studied the question of normal families of meromorphic functions sharing sets with their derivatives in the present paper. Moreover, the results in this paper extend the corresponding results given by Liu Xiaojun and Pang Xuecheng and by Liu Xiaoyi and Chang Jianming.