On The [p,q]-order And [p,q]-type Of Composite Entire Function

In this paper,we use the properties of the maximum module of entire func-tion,to study the growth of the composition entire functions f(g),when f(z),g(z)are entire functions of[p,g]-order,including the[p,q]-order and[p,q]-type of com-posite entire function f(g).This paper is divided into three chapters.In Chapter 1,we introduce some basic definitions and geneal notations of Nevanlinna value distribution theory,as well as some definitions about entire functions and meromorphic functions.In Chapter 2,we estimate the maximum modulus of composite entire function f(g)when f(z)and g(z)are entire functions of[p,g]-order,we also compare the growth of M(r,f(g))with M(r,f)and M(r,q),and obtain the upper bound and lower bound of(?)under the condition of taking proper(logarithmic on M(r,f(g)),M(r,f)and M(r,g),the results that we obtain improve previous results.In Chapter 3,we first investigate the[p,q]-type of composite entire function f(g)when f(z)and g(z)are entire functions of[p,q]-order.Secondly,we give more precise estimation on the growth of(?)on the conditions of knowing the[p,q]-order and[p,q]-type of f(z)and g(z).Finally,we obtain some results which improve the results in chapter 2.