Several Results For The Numerical Distribution Of Derivatives Of Meromorphic Functions

The value distribution theory of meromorphic functions is a very important research topic in complex analysis and many complex analysis experts at home and abroad have made a lot of excellent research results.This paper mainly studies the value distribution of derivatives and differential polynomials of meromorphic functions.The structure of the paper is as follows.In preface,we summarize the origin and development of meromorphic function value distribution theory and the main research results in this field.In Chapter 1,we discuss the basic knowledge needed in this paper from two aspects,namely the basic knowledge of value distribution theory and the basic knowledge of normal family theory.In Chapter 2,we use the normal family theory to study the derivative value distribution of meromorphic functions involved in sharing,which generalize the related results due to Y.Xu[9].In Chapter 3,we discuss the value distribution of meromorphic function differential polynomials,which improve the related results due to J.J.HU[14].In Chapter 4,we apply the important Yamanoi inequality[23]to study the value distribution of derivatives and answer the questions of M.L.Fang and Y.F.Wang[24]under certain conditions.