关于亚纯函数的正规族

Normal Families of Meromorphic Functions

亚纯函数正规族是亚纯函数的值分布理论的一个重要课题.主要讨论分担值的全纯函数族和亚纯函数族的正规性,得到的几个结果是文献(Fang M L,Zalcman L.Comput Meth Funct Theory,2001,1:289-299.)一个结果的改进和补充.正规族的相关理论在复动力系统和复微分方程等方面都有着重要的应用.

The normal family of meromorphic functions is an important subject of the value distribution theory of meromorphic functions.In this paper,we discuss the meromorphic function family concerning shared values and the normality of holomorphic function family,and get some results which improve and supple results of(Fang M L,Zalcman L.Comput Meth Funct Theory,2001,1:289-299.).The related theories of normal families have important applications in complex dynamical systems and complex differential equations.