Article overview
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.
Keywords and Phrases
Dirichlet seriesanalytic functionhalf plane$(pq)$-th relative order$(pq)$-th relative type$(pq)$-th relative weak typeproperty (H).
AMS Subject Classification
30B50, 30D15, 30D99.
Reference information
How to Cite
Tanmay Biswas, Chinmay Biswas (2022). 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. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 9(2), 29-64.