The Growth Of A Kind Of Entire Functions And Composite Functions

In this paper,we use some basic knowledge of Nevanlinna value distribution theory to investigate the growth of composite function f(g(z))when f(z)is entire or meromorphic of finite logarithmic order and g(z)is entire of finite order,and we also study the[p,q]-?(r)order and[p,q]-?(r)type of entire functions or meromorphic functions f1(z)+f2(z),f1(z)·f2(z).This paper consists of three chapters.In chapter 1,we introduce some basic definitions and usual notations aboutentire functions and meromorphic functions,we also introduce some theorems about Nevanlinna value distribution theory.In chapter 2,we investigate the growth,zeros,poles of composite function f(g(z))when f(z)is entire or meromorphic of finite logarithmic order and g(z)is of entire finite order,we obtain some results which improve and enrich some previous results.In chapter 3,we study the[p,g]-?(r)order and[p,q]-?(r)type of f1(z)+f2(z),f1(z)·f2(z),when f1(z),f2(z)are entire or meromorphic func-tion having the same[p,q]-?(r)order and different[p,q]-?(r)type.And we obtain some results which improve some previous results.