A Parseval-Goldstein type theorem on the widder potential transform and its applications

A Parseval-Goldstein type theorem on the widder potential transform and its applications

In this paper a Parseval-Goldstein type theorem involving the Widder potential transform and a Laplace type integral transform is given. The theorem is then shown to yield a relationship between the 𝒦-transform and the Laplace type integral transform. The theorem yields some simple algorithms for ev...

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Bibliographic Details
Main Authors: O. Yürekli, I. Sadek
Format: Article
Language:English
Published: Hindawi Limited 1991-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
the Widder potential transform
the Laplace trasform
the ℒ2-transform
the 𝒦-transform the modified Bessel function of the third kind or Macdonald's function.
Online Access:http://dx.doi.org/10.1155/S0161171291000704
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spelling doaj-85925b5dac494abeae4c90e5248b82792020-11-24T23:29:53ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114351752410.1155/S0161171291000704A Parseval-Goldstein type theorem on the widder potential transform and its applicationsO. Yürekli0I. Sadek1Department of Mathematics and Computer Science, Ithaca College, Ithaca 14850, New York, USAMathematical Sciences, University of North Carolina, Wilmington 28403, NC, USAIn this paper a Parseval-Goldstein type theorem involving the Widder potential transform and a Laplace type integral transform is given. The theorem is then shown to yield a relationship between the 𝒦-transform and the Laplace type integral transform. The theorem yields some simple algorithms for evaluating infinite integrals. Using the theorem and its results, a number of new infinite integrals of elementary and special functions are presented. Some illustrative examples are also given.http://dx.doi.org/10.1155/S0161171291000704the Widder potential transformthe Laplace trasform the ℒ2-transformthe 𝒦-transform the modified Bessel function of the third kind or Macdonald's function.
collection DOAJ
language English
format Article
sources DOAJ
author O. Yürekli
I. Sadek
spellingShingle O. Yürekli
I. Sadek
A Parseval-Goldstein type theorem on the widder potential transform and its applications
International Journal of Mathematics and Mathematical Sciences
the Widder potential transform
the Laplace trasform
the ℒ2-transform
the 𝒦-transform the modified Bessel function of the third kind or Macdonald's function.
author_facet O. Yürekli
I. Sadek
author_sort O. Yürekli
title A Parseval-Goldstein type theorem on the widder potential transform and its applications
title_short A Parseval-Goldstein type theorem on the widder potential transform and its applications
title_full A Parseval-Goldstein type theorem on the widder potential transform and its applications
title_fullStr A Parseval-Goldstein type theorem on the widder potential transform and its applications
title_full_unstemmed A Parseval-Goldstein type theorem on the widder potential transform and its applications
title_sort parseval-goldstein type theorem on the widder potential transform and its applications
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 1991-01-01
description In this paper a Parseval-Goldstein type theorem involving the Widder potential transform and a Laplace type integral transform is given. The theorem is then shown to yield a relationship between the 𝒦-transform and the Laplace type integral transform. The theorem yields some simple algorithms for evaluating infinite integrals. Using the theorem and its results, a number of new infinite integrals of elementary and special functions are presented. Some illustrative examples are also given.
topic the Widder potential transform
the Laplace trasform
the ℒ2-transform
the 𝒦-transform the modified Bessel function of the third kind or Macdonald's function.
url http://dx.doi.org/10.1155/S0161171291000704
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AT isadek aparsevalgoldsteintypetheoremonthewidderpotentialtransformanditsapplications
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AT isadek parsevalgoldsteintypetheoremonthewidderpotentialtransformanditsapplications
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