Value Distribution Of Meromorphic Functions And Normal Families Of Several Results

The value distribution and normal families of meromorphic functions are impor-tant subjects in complex analysis. Much work has been taken on this issue. In this thesis, we mainly study value distribution and normal families of meromorphic func-tions, and obtain some meaningful results. The dissertation is structured as follows.In preface, there is the preference, we give a review about the original, the historical background of the value distribution and normal families of meromorphic functions.In chapter1, we will give some usual notations, definitions and basic results in value distribution theory and the theory of normality, which will be used in this thesis.In chapter2, we study the value distribution theory of meromorphic functions and obtain a result, which generalize the related results due to Y.Xu [8] in some extent.In chapter3, we discuss the normal criteria of meromorphic functions related to the exceptional functions, which generalize and improve the related results due to J.F.Chen and M.L.Fang [15].In chapter4, we obtain a normal criteria of meromorphic functions concerning sharing functions, which generalize and improve the related results due to X.J.Huang and Y.X.Gu [26].