Maximum Term and Lower Order of Entire Functions of Several Complex Variables (communicated by Vijay Gupta)
نویسندگان
چکیده
In the present paper, we study the growth properties of entire functions of several complex variables. The characterizations of lower order of entire functions of several complex variables have been obtained in terms of their Taylor’s series coefficients. Also we have obtained some inequalities between order, type, maximum term and central index of entire functions of several complex variables.
منابع مشابه
Some inequalities in connection to relative orders of entire functions of several complex variables
Let f, g and h be all entire functions of several complex variables. In this paper we would like to establish some inequalities on the basis of relative order and relative lower order of f with respect to g when the relative orders and relative lower orders of both f and g with respect to h are given.
متن کاملGrowth analysis of entire functions of two complex variables
In this paper, we introduce the idea of generalized relative order (respectively generalized relative lower order) of entire functions of two complex variables. Hence, we study some growth properties of entire functions of two complex variables on the basis of the definition of generalized relative order and generalized relative lower order of entire functions of two complex variables.
متن کاملFurther growth of iterated entire functions in terms of its maximum term
In this article we consider relative iteration of entire functions and studycomparative growth of the maximum term of iterated entire functions withthat of the maximum term of the related functions.
متن کاملOn some results of entire functions of two complex variables using their relative lower order
Some basic properties relating to relative lower order of entire functions of two complex variables are discussed in this paper.
متن کاملRelative orders and slowly changing functions oriented growth analysis of composite entire functions
In the paper we establish some new results depending on the comparative growth properties of composition of entire functions using relative $L^{ast }$-order (relative $L^{ast }$-lower order) as compared to their corresponding left and right factors where $Lequiv Lleft( rright) $ is a slowly changing function.
متن کامل