A characterization of the generalized Meijer transform

The purpose of the note is to prove a representation theorem for the generalized Meijer transform defined in [2]. In particular, we shall state and prove necessary and sufficient conditions for a function F(p) to be the generalized Meijer transform of a generalized function.

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Main Authors: E. Y. Deeba, E. L. Koh
Format: Article
Language:English
Published: Wiley 1992-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171292001091
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author E. Y. Deeba
E. L. Koh
author_facet E. Y. Deeba
E. L. Koh
author_sort E. Y. Deeba
collection DOAJ
description The purpose of the note is to prove a representation theorem for the generalized Meijer transform defined in [2]. In particular, we shall state and prove necessary and sufficient conditions for a function F(p) to be the generalized Meijer transform of a generalized function.
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institution Kabale University
issn 0161-1712
1687-0425
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publishDate 1992-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-8e102ebc2b9a4c54bf7b5f29d122a4f82025-02-03T01:20:58ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115482382710.1155/S0161171292001091A characterization of the generalized Meijer transformE. Y. Deeba0E. L. Koh1Department of Applied Mathematical Sciences, University of Houston-Downtown, Houston 77002, Texas, USADepartment of Mathematics & Statistics, University of Regina, Regina S4S 0A2, CanadaThe purpose of the note is to prove a representation theorem for the generalized Meijer transform defined in [2]. In particular, we shall state and prove necessary and sufficient conditions for a function F(p) to be the generalized Meijer transform of a generalized function.http://dx.doi.org/10.1155/S0161171292001091generalized Meijer transforngeneralized functionBessel differential operatorrepresentation theorem.
spellingShingle E. Y. Deeba
E. L. Koh
A characterization of the generalized Meijer transform
International Journal of Mathematics and Mathematical Sciences
generalized Meijer transforn
generalized function
Bessel differential operator
representation theorem.
title A characterization of the generalized Meijer transform
title_full A characterization of the generalized Meijer transform
title_fullStr A characterization of the generalized Meijer transform
title_full_unstemmed A characterization of the generalized Meijer transform
title_short A characterization of the generalized Meijer transform
title_sort characterization of the generalized meijer transform
topic generalized Meijer transforn
generalized function
Bessel differential operator
representation theorem.
url http://dx.doi.org/10.1155/S0161171292001091
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