ON SOME RESULTS ON $(p,q)$-TH RELATIVE ORDER AND $(p,q)$-TH RELATIVE TYPE OF ANALYTIC FUNCTIONS REPRESENTED BY DIRICHLET SERIES IN THE HALF PLANE

Abstract

In this paper we introduce the idea of $(p,q)$-th relative order, $(p,q)$-th relative type and $(p,q)$-th relative weak type of analytic functions represented by Dirichlet series in the half plane with respect to entire Dirichlet series where $p$ and $q$ are positive integers and then study some basic properties of analytic functions represented by Dirichlet series in the half plane using the concepts of $(p,q)$-th relative order, $(p,q)$-th relative type and $(p,q)$-th relative weak type.