Some Results Of Normal Families

In this thesis,we study normal families of meromorphic functions.Normal families of meromorphic functions is an important subject in complex analysis. In the past decades, scholars have attached fairly much importance on normal families of meromorphic functions, and they have obtained remarkable achievements.we give a review about the historical background of complex analysis and research achievements in these fields. This thesis is divided into three segments.In chapter one, we state a few usual notations,definitions and basic results in value distribution theory of meromorphic functions.In chapter two, we introduce development of normal families concerning differential polynomial, and we get two corresponding results ,which is a generalization of a normality criteria.In chapter three, we discussα-normal families of meromorphic functions, which is a generalization of normal families, and we give the corresponding proofs.