Sanjib Kumar Datta

On the

The relative order of growth gives a quantitative assessment of how different functions scale each other and to what extent they are self-similar in growth. In this paper for any two positive integers p and q, we wish to introduce an alternative definition of relative th order which improves the earlier definition of relative th order as introduced by Lahiri and Banerjee (2005). Also in this paper we discuss some growth rates of entire functions on the basis of the improved definition of relative th order with respect to another entire function and extend some earlier concepts as given by Lahiri and Banerjee (2005), providing some examples of entire functions whose growth rate can accordingly be studied.

(p,q)

Some results on comparative growth properties of maximum terms and maximum moduli of composite entire functions on the basis of relative -order and relative -type are proved in this paper.

th Relative Order Oriented Growth Properties of Entire Functions

A detailed study concerning some growth rates of composite entire and meromorphic functions on the basis of their relative orders (relative lower orders) with respect to entire functions has been made in this paper.

Growth Analysis of Composite Entire Functions Related to Slowly Changing Functions Oriented Relative Order and Relative Type

Orders and types of entire functions have been actively investigated by many authors. In this paper, we aim at investigat- ing some basic properties in connection with sum and product of relative type and relative weak type of entire functions.

Growth Rates of Meromorphic Functions Focusing Relative Order

We study some comparative growth properties of composite entire and meromorphic functions on the basis of their relative orders (relative lower orders).

SUM AND PRODUCT THEOREMS OF RELATIVE TYPE AND RELATIVE WEAK TYPE OF ENTIRE FUNCTIONS

In the paper we establish some new results depending on the comparative growth properties of composite entire or meromorphic functions using generalised -order and generalised -type and Wronskians generated by one of the factors.

Growth Analysis of Composite Entire and Meromorphic Functions in the Light of Their Relative Orders

In this paper we introduce the idea of relative Ritt L∗-type and relative Ritt L∗-weak type of entire functions represented by vector valued dirichlet series. Further we wish to study s ome growth properties of entire functions represented by a v ector valued Dirichlet series on the basis of relative Ritt L∗-type and relative Ritt L∗-weak type.

Growth Analysis of Wronskians in terms of Slowly Changing Functions

Abstract In this paper we intend to find out relative order (relative lower order) of a meromorphic function f with respect to another entire function g when generalized relative order (generalized relative lower order) of f and generalized relative order (generalized relative lower order) of g with respect to another entire function h are given.

On relative Ritt L -type and relative Ritt L -weak type of entire functions presented in the form of vector valued Dirichlet series

Abstract In this paper we study some comparative growth properties of composite entire and meromorphic functions on the basis of their generalized relative order, generalized relative type and generalized relative weak type with respect to another entire function.

Derivation of Some Results on the Generalized Relative Orders of Meromorphic Functions

In the paper we establish some new results depending on the co mparative growth properties of composite entire or meromorphic functions using relative order ( relative lowe r order ) and differential monomials, differential polynom ials generated by one of the factors.