Dissertation > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Theory of functions > Complex analysis,complex function > Integer function theory of meromorphic functions of (semi- pure function theory )

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 α-normal functions
CLC O174.52
Type Master's thesis
Year 2007
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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.

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