The Relative Growth Of Entire Functions And The Properties Of Solutions Of Several Kinds Of Equations

In this thesis,we use some basic knowledge of Nevanlinna value distribu-tion theory to investigate the relative growth of different entire functions and the asymptotic expression of the infinite zero point of certain type equation,Mean-while,we also introduce the zero distribution of the differential(?)-difference poly-nomials.This dissertation consists of four chapters.In chapter 1,we introduce some basic definitions and usual notations about Value distribution theory.At the same time,we also list some conclusions and basic theorems needed in this thesis.In chapter 2,we investigate the relative(?)order and relative(?)type of four arithmetic operations of different entire functions,and the relative(?)order of the composite entire function.further enrich and improve the previous results.In chapter 3,According to the solution of the original equation(?),investigate the zero point of the formal equation of(?),and gives the asymptotic expression of the corresponding zero point,further improves and generalizes the original conclusion.In chapter 4,we use the theory of value distribution firstly introduce the num-ber and distribution of zero of differential-difference polynomial(?),when(?)is an entire function of finite order,where(?)and(?)is a small function of(?).Secondly,we estimate the re-lationship between the convergence exponent of logarithmic zero sequence of the differential(?)-difference polynomial and the transcendental meromorphic func-tion of the finite logarithm growth order and obtain some results...