Some Results On Meromorphic Functions Of Normal Families

In this paper, we obtain some results on normal family of meromorphic func-tions, structure is arranged as following:In preface, we give the historical background and some achievements of normal families.In chapter1, we give some basic knowledge of value distribution theory and normal family theory.In chapter2, we research some normal criteria of sharing holomorphic functions, which improves the related results due to Qi Jianming and Zhu Taiying [8].In chapter3, we research some normal criteria of sharing meromorphic func-tions, which improves the related results due to Jian-Ming Chang [18].In chapter4, we discuss some other normal criteria, which improves the related results due to Zhang.Q.C [21,22], Yuan Wenjun [23] and Liu Xiaoyi, Chang Jianming [26].