Growth analysis of entire functions of two complex variables
Authors
Abstract:
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.
similar resources
growth 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.
full textOn 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.
full textSome 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.
full textRelative order and type of entire functions represented by Banach valued Dirichlet series in two variables
In this paper, we introduce the idea of relative order and type of entire functions represented by Banach valued Dirichlet series of two complex variables to generalize some earlier results. Proving some preliminary theorems on the relative order, we obtain sum and product theorems and we show that the relative order of an entire function represented by Dirichlet series is the same as that of i...
full textRelative 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.
full textApproximation of Entire Functions of Two Complex Variables in Banach Spaces
In the present paper, we study the polynomial approximation of entire functions of two complex variables in Banach spaces. The characterizations of order and type of entire functions of two complex variables have been obtained in terms of the approximation errors.
full textMy Resources
Journal title
volume 03 issue 2
pages 13- 24
publication date 2016-06-01
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023