(p,q)- th relative order and (p,q)- th relative type based some growth analysis of entire and meromorphic functions

TL;DR

This paper investigates the growth rates of entire and meromorphic functions using relative (p,q)-th order and type, providing new insights into their asymptotic behavior based on these growth measures.

Contribution

It introduces results connecting relative (p,q)-th order and type to the growth analysis of entire and meromorphic functions, expanding existing growth theory.

Findings

Established relationships between relative (p,q)-th order and type and function growth

Provided new bounds and inequalities for growth rates

Extended classical growth concepts to a relative (p,q) framework

Abstract

In this paper we wish to prove some results related to the growth rates of entire and meromorphic functions on the basis of relative (p,q) th order and relative (p,q) th type of a meromorphic function with respect to an entire function for any two positive integers p and q.