The Hadamard compositions of Dirichlet series absolutely converging in half-plane

For Dirichlet series with different finite abscissas of absolute convergence in terms of generalized orders the growth of the Hadamard composition of their derivatives is investigated. A relation between the behavior of the maximal terms of Hadamard composition of derivatives and of the derivative o...

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Main Authors: M.M. Sheremeta, O.M. Mulyava
Format: Article
Language:deu
Published: Ivan Franko National University of Lviv 2020-03-01
Series:Математичні Студії
Subjects:
Online Access:http://matstud.org.ua/ojs/index.php/matstud/article/view/39
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author M.M. Sheremeta
O.M. Mulyava
author_facet M.M. Sheremeta
O.M. Mulyava
author_sort M.M. Sheremeta
collection DOAJ
description For Dirichlet series with different finite abscissas of absolute convergence in terms of generalized orders the growth of the Hadamard composition of their derivatives is investigated. A relation between the behavior of the maximal terms of Hadamard composition of derivatives and of the derivative of Hadamard composition is established.
format Article
id doaj-art-7b2f1bbdebe24eea9529c45e702dce81
institution DOAJ
issn 1027-4634
2411-0620
language deu
publishDate 2020-03-01
publisher Ivan Franko National University of Lviv
record_format Article
series Математичні Студії
spelling doaj-art-7b2f1bbdebe24eea9529c45e702dce812025-08-20T02:41:33ZdeuIvan Franko National University of LvivМатематичні Студії1027-46342411-06202020-03-01531132810.30970/ms.53.1.13-2839The Hadamard compositions of Dirichlet series absolutely converging in half-planeM.M. Sheremeta0O.M. Mulyava1Ivan Franko National University of Lviv, Lviv, UkraineKyiv National University of Food Technologies, Kyiv, UkraineFor Dirichlet series with different finite abscissas of absolute convergence in terms of generalized orders the growth of the Hadamard composition of their derivatives is investigated. A relation between the behavior of the maximal terms of Hadamard composition of derivatives and of the derivative of Hadamard composition is established.http://matstud.org.ua/ojs/index.php/matstud/article/view/39dirichlet series; hadamard composition; maximal term
spellingShingle M.M. Sheremeta
O.M. Mulyava
The Hadamard compositions of Dirichlet series absolutely converging in half-plane
Математичні Студії
dirichlet series; hadamard composition; maximal term
title The Hadamard compositions of Dirichlet series absolutely converging in half-plane
title_full The Hadamard compositions of Dirichlet series absolutely converging in half-plane
title_fullStr The Hadamard compositions of Dirichlet series absolutely converging in half-plane
title_full_unstemmed The Hadamard compositions of Dirichlet series absolutely converging in half-plane
title_short The Hadamard compositions of Dirichlet series absolutely converging in half-plane
title_sort hadamard compositions of dirichlet series absolutely converging in half plane
topic dirichlet series; hadamard composition; maximal term
url http://matstud.org.ua/ojs/index.php/matstud/article/view/39
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AT ommulyava thehadamardcompositionsofdirichletseriesabsolutelyconverginginhalfplane
AT mmsheremeta hadamardcompositionsofdirichletseriesabsolutelyconverginginhalfplane
AT ommulyava hadamardcompositionsofdirichletseriesabsolutelyconverginginhalfplane