The Relative [p,q]-order And Relative [p,q]-type Of Entire Functions And Composite Entire Functions

In this paper,by using some basic knowledge of Nevanlinna value distribution theory,we study the relative[p,q]-order and relative[p,q]-type of entire functions and composite entire functions.This paper is divided into three chapters.In chapter 1,we introduce some basic definitions and common symbols of Nevanlinna value distribution theory,and list some basic definitions of entire function and meromorphic function as well as,some theorems and conclusions that we need.In chapter 2,we study the relationship of relative[p,q]-order and relative[p,q]type between entire function f and its derivative f’,Pf and fn when f is entire of relative[p,g]-order.Also we discuss the relative[p,q]-order and relative[p,q]-type about f1+f2,f1f2,f1/f2 by using the properties of characteristic functions and their inverse functions when f1 and f2 are entire of relative[p,q]-order.In chapter 3,we discuss the relationship between relative[p,q]-order and relative[p,q]-type of composite entire function f(?)g and the relative[p,q]-order of outer function f and[p,q]-type of inner function g.We obtain the estimates of under some proper conditions.Finally,we obtain some results which improved previous results.