Several Results On The Normal Family Of Meromorphic Functions

The theory of normal families is an important branch of the complex analy-sis,and plays an important role in value distribution of meromorphic functions,complex differential equations,uniqueness of meromorphic functions,complex dy-namical systems and so on.This article mainly discuss two questions on the normal family theory of meromorphic function.The structure of the thesis is as following.In Perface,we mainly give a review about the development,background and some research achievements of the value distribution and normal family theory of meromorphic function.In Chapter 1,we give some basic knowledge in value distribution theory and the theory of normality,such as some basic concepts,notations and basic results.In Chapter 2,we research the normal families theory of sharing meromorphic function and obtain a normal criteria,which generalizes the related results due to Fang Mingliang,Zalcman[6],Chen wei,Tian Honggen and Hu Peichu[3]in some extent.In Chapter 3,we research and obtain a normal criteria about differential poly-nomial,which generalizes the related results due to Xu Yan[16].