Generalized Ritt type and generalized Ritt weak type connected growth properties of entire functions represented by vector valued Dirichlet series

In this paper, we introduce the idea of generalized Ritt type and generalised Ritt weak type of entire functions represented by a vector valued Dirichlet series. Hence, we study some growth properties of two entire functions represented by a vector valued Dirichlet series on the basis of generalized...

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Main Authors: Sanjib Kumar Datta, Tanmay Biswas, Jinarul Haque Shaikh
Format: Article
Language:English
Published: University of Maragheh 2017-10-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Online Access:http://scma.maragheh.ac.ir/article_22636_d44441b3c78ee5e56778a0617e77ab53.pdf
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author Sanjib Kumar Datta
Tanmay Biswas
Jinarul Haque Shaikh
author_facet Sanjib Kumar Datta
Tanmay Biswas
Jinarul Haque Shaikh
author_sort Sanjib Kumar Datta
collection DOAJ
description In this paper, we introduce the idea of generalized Ritt type and generalised Ritt weak type of entire functions represented by a vector valued Dirichlet series. Hence, we study some growth properties of two entire functions represented by a vector valued Dirichlet series on the basis of generalized Ritt type and generalised Ritt weak type.
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spelling doaj.art-ba14f4c6610849f5ae9c174b48bdf7242022-12-21T18:21:48ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002017-10-0181233222636Generalized Ritt type and generalized Ritt weak type connected growth properties of entire functions represented by vector valued Dirichlet seriesSanjib Kumar Datta0Tanmay Biswas1Jinarul Haque Shaikh2Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN- 741235, West Bengal, India.Rajbari, Rabindrapalli, R. N. Tagore Road, P.O.-Krishnagar, Dist-Nadia, PIN-741101, West Bengal, India.Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal, India.In this paper, we introduce the idea of generalized Ritt type and generalised Ritt weak type of entire functions represented by a vector valued Dirichlet series. Hence, we study some growth properties of two entire functions represented by a vector valued Dirichlet series on the basis of generalized Ritt type and generalised Ritt weak type.http://scma.maragheh.ac.ir/article_22636_d44441b3c78ee5e56778a0617e77ab53.pdfVector valued Dirichlet series (VVDS)Generalized Ritt orderGeneralized Ritt lower orderGeneralized Ritt-typeGeneralized Ritt weak typeGrowth
spellingShingle Sanjib Kumar Datta
Tanmay Biswas
Jinarul Haque Shaikh
Generalized Ritt type and generalized Ritt weak type connected growth properties of entire functions represented by vector valued Dirichlet series
Sahand Communications in Mathematical Analysis
Vector valued Dirichlet series (VVDS)
Generalized Ritt order
Generalized Ritt lower order
Generalized Ritt-type
Generalized Ritt weak type
Growth
title Generalized Ritt type and generalized Ritt weak type connected growth properties of entire functions represented by vector valued Dirichlet series
title_full Generalized Ritt type and generalized Ritt weak type connected growth properties of entire functions represented by vector valued Dirichlet series
title_fullStr Generalized Ritt type and generalized Ritt weak type connected growth properties of entire functions represented by vector valued Dirichlet series
title_full_unstemmed Generalized Ritt type and generalized Ritt weak type connected growth properties of entire functions represented by vector valued Dirichlet series
title_short Generalized Ritt type and generalized Ritt weak type connected growth properties of entire functions represented by vector valued Dirichlet series
title_sort generalized ritt type and generalized ritt weak type connected growth properties of entire functions represented by vector valued dirichlet series
topic Vector valued Dirichlet series (VVDS)
Generalized Ritt order
Generalized Ritt lower order
Generalized Ritt-type
Generalized Ritt weak type
Growth
url http://scma.maragheh.ac.ir/article_22636_d44441b3c78ee5e56778a0617e77ab53.pdf
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