涉及微分多项式的亚纯函数的正规族

NORMALITY OF MEROMORPHIC FUNCTIONS WITH DIFFERENTIAL POLYNOMIAL

本文通过研究亚纯函数的正规族.利用反证法,获得了一个与分担值有关的涉及微分多项式的一般性的正规定则,改进了方明亮和L.Zalcman在2002年得到的一个结果.

In this paper,we study the normality of a family of meromorphic functions.By using the method of apagoge,a general criterion for normality of families of meromorphic functions with differential polynomial concerning shared values is obtained,which improves the result given by Fang Mingliang and L.Zalcman in 2002.