On the integral representations of relative (p,q) -th type and relative (p,q) -th weak type of entire and meromorphic functions

TL;DR

This paper develops integral representations for relative (p,q)-th type and weak type of entire and meromorphic functions, and explores their equivalence under specific conditions.

Contribution

It introduces new integral representations for these function types and analyzes their equivalence, advancing the theoretical understanding of their properties.

Findings

Established integral representations for relative (p,q)-th type and weak type.

Proved conditions under which these types are equivalent.

Enhanced theoretical framework for classifying entire and meromorphic functions.

Abstract

In this paper we wish to establish the integral representations of relative (p,q) -th type and relative (p,q) -th weak type of entire and meromorphic functions. We also investigate their equivalence relation under some certain condition.