Several Results About The Value Distribution Of The Meromorphic Function And The Normal Family

The theory of value distribution and normal family theory of mero-morphic function is an important branch of the complex analysis.This article mainly discusses some research on the value distribution and on the normal family of meromorphic function.Some meaningful re-sults are obtained. The structure of the thesis is as following.In preface, we simply summarize the development background and some research achievements of the theory of value distribution and normal family.The first chapter, we will give some basic knowledge of value dis-tribution and the normal family theory,such as some basic concepts, notations and basic results.The second chapter, we research a class of value distribution in-volving the differential polynomials of meromorphic function by using normal criteria, which generalize and improve the related results due to XuYan and Qiu Huiling [16] in some way.The third chapter, we study and get a normal criteria of shared function, which generalize the related results due to Qi Jianming and Zhu Taiying [11], Zou Haibin [22].The fourth chapter,we study and obtain a class of normal criteria involving differential polynomial, which generalize and improve the related results due to Lan Fuxiang [6].