MELLIN TRANSFORM AS PARTICULAR REALIZATION OF GENERAL SCHEME OF INTEGRAL TRANSFORM CONSTRUCTION

MELLIN TRANSFORM AS PARTICULAR REALIZATION OF GENERAL SCHEME OF INTEGRAL TRANSFORM CONSTRUCTION

The paper is to study application of a general scheme pertaining to integral transform construction with the purpose to obtain the well-known Mellin transform.A determining factor of its construction is a linear differential operator T = t d/dt  in the {f(0)}. «originals» set. The paper shows that i...

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Main Author: A. S. Gakhovich
Format: Article
Language:Russian
Published: Belarusian National Technical University 2009-08-01
Series:Nauka i Tehnika
Online Access:https://sat.bntu.by/jour/article/view/586
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spelling doaj-e3c3531bb0044e1d968492e417392f012021-07-29T08:29:28ZrusBelarusian National Technical UniversityNauka i Tehnika2227-10312414-03922009-08-01048082579MELLIN TRANSFORM AS PARTICULAR REALIZATION OF GENERAL SCHEME OF INTEGRAL TRANSFORM CONSTRUCTIONA. S. Gakhovich0Belarusian National Technical UniversityThe paper is to study application of a general scheme pertaining to integral transform construction with the purpose to obtain the well-known Mellin transform.A determining factor of its construction is a linear differential operator T = t d/dt  in the {f(0)}. «originals» set. The paper shows that in the case of a linear algebraic operator the simplest and agreed-upon transform is obtained with the help of multiplication of the corresponding F(u) «image» by a trivial k(u) = –и function.https://sat.bntu.by/jour/article/view/586
collection DOAJ
language Russian
format Article
sources DOAJ
author A. S. Gakhovich
spellingShingle A. S. Gakhovich
MELLIN TRANSFORM AS PARTICULAR REALIZATION OF GENERAL SCHEME OF INTEGRAL TRANSFORM CONSTRUCTION
Nauka i Tehnika
author_facet A. S. Gakhovich
author_sort A. S. Gakhovich
title MELLIN TRANSFORM AS PARTICULAR REALIZATION OF GENERAL SCHEME OF INTEGRAL TRANSFORM CONSTRUCTION
title_short MELLIN TRANSFORM AS PARTICULAR REALIZATION OF GENERAL SCHEME OF INTEGRAL TRANSFORM CONSTRUCTION
title_full MELLIN TRANSFORM AS PARTICULAR REALIZATION OF GENERAL SCHEME OF INTEGRAL TRANSFORM CONSTRUCTION
title_fullStr MELLIN TRANSFORM AS PARTICULAR REALIZATION OF GENERAL SCHEME OF INTEGRAL TRANSFORM CONSTRUCTION
title_full_unstemmed MELLIN TRANSFORM AS PARTICULAR REALIZATION OF GENERAL SCHEME OF INTEGRAL TRANSFORM CONSTRUCTION
title_sort mellin transform as particular realization of general scheme of integral transform construction
publisher Belarusian National Technical University
series Nauka i Tehnika
issn 2227-1031
2414-0392
publishDate 2009-08-01
description The paper is to study application of a general scheme pertaining to integral transform construction with the purpose to obtain the well-known Mellin transform.A determining factor of its construction is a linear differential operator T = t d/dt  in the {f(0)}. «originals» set. The paper shows that in the case of a linear algebraic operator the simplest and agreed-upon transform is obtained with the help of multiplication of the corresponding F(u) «image» by a trivial k(u) = –и function.
url https://sat.bntu.by/jour/article/view/586
work_keys_str_mv AT asgakhovich mellintransformasparticularrealizationofgeneralschemeofintegraltransformconstruction
_version_ 1721255710924210176

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