Several Results About The Normal Family Of Meromorphic Functions

In this paper, we mainly study normal families of meromorphic functions, structure is arranged as following:In preface, we mainly give a review about the original, the historical background of the normal families of meromorphic functions.In chapter 1, we give some basic knowledge in value distribution theory and the theory of normalityIn chapter 2, we study the normal families theory of sharing function and obtain a normal criteria, which improves the related results due to Xu Yan [23] in some extent.In chapter 3, we study and obtain a normal criteria of meromorphic functions related to the exceptional functions, the result can be used as a supplement of the related results due to Xu Yan [22].In chapter 4, we obtain a normal criteria of meromorphic functions concerning differential polynomial sharing value, which improves the related results due to Lei Chunlin, Fang Mingliang and Zeng Cuiping [10].