Some Results of Normal Families 

Author  ZhengJuan 
Tutor  XuZuo 
School  Nanjing Normal University 
Course  Basic mathematics 
Keywords  meromorphic functions holomorphic functions Zalcman’lemma normal families normal functions αnormal functions 
CLC  O174.52 
Type  Master's thesis 
Year  2007 
Downloads  41 
Quotes  0 
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 discussαnormal families of meromorphic functions, which is a generalization of normal families, and we give the corresponding proofs.