Some growth analysis of entire functions in the form of vector valued Dirichlet series on the basis of their (p, q)-th relative Ritt order and (p, q)-th relative Ritt type

TL;DR

This paper investigates the growth characteristics of vector valued Dirichlet series representing entire functions using advanced growth measures like (p,q)th relative Ritt order and type.

Contribution

It introduces a framework for analyzing the growth of entire functions via (p,q)th relative Ritt order and type, extending existing growth analysis methods.

Findings

Characterization of growth rates of entire functions via (p,q)th relative Ritt order.

Establishment of relationships between different growth measures.

New insights into the growth behavior of vector valued Dirichlet series.

Abstract

In this paper we wish to study some growth properties of entire functions represented by a vector valued Dirichlet series on the basis of (p,q)th relative Ritt order, (p,q)th relative Ritt type and (p,q)th relative Ritt weak type.