On Unicity Of Meromorphic Solutions Of Complex Difference-Differential Equations And Related Problems

In the early 1920 s,R.Nevanlinna systematically applied Poisson-Jensen formula to establish the theory of meromorphic function value distribution on the complex plane.Later,the theory has been continuously improved and developed rapidly,and many important research topics emerged,among which the research on some problems of the complex equations has been an active part of many research topics.In this thesis,Nevanlinna theory is used as the main research tool to study the properties of the solution of certain difference-differential equations,which are divided into three chapters.In the first chapter,we mainly introduce the Nevanlinna theory,usual basic concepts and usual symbols.In the second chapter,we study the Malmquist type equation with the cross term.We mainly discuss the difference-differential equation (?) and obtain the unicity of the solution.At the same time,we generalize the research results of some scholars.In the third chapter,we further discuss the properties of the entire solution of certain difference-differential equation.We focus on the periodicity of the entire solution of (?) and (?)...