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
Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 132
DOI:
Author :
Tanmay Biswas (Rajbari, Rabindrapally, R. N. Tagore Road, Krishnagar, Nadia - 741101, West Bengal, INDIA)
Chinmay Biswas (Department of Mathematics, Nabadwip Vidyasagar College, Nabadwip, Nadia - 741302, West Bengal, INDIA)
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 series, analytic function, half plane, $(p,q)$-th relative order, $(p,q)$-th relative type, $(p,q)$-th relative weak type, property (H).
A.M.S. subject classification
30B50, 30D15, 30D99.
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