On a generalization of Hankel kernel

We consider an expression involving the Bessel function, the Neumann function and the MacDonald function and discover various combinations of these functions which are Fourier kernels or conjugate Fourier kernels. Also a large number of integration formulae are established involving these kernels.

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Bibliographic Details
Main Authors: C. Nasim, B. D. Aggarwala
Format: Article
Language:English
Published: Wiley 1994-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S016117129400044X
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author C. Nasim
B. D. Aggarwala
author_facet C. Nasim
B. D. Aggarwala
author_sort C. Nasim
collection DOAJ
description We consider an expression involving the Bessel function, the Neumann function and the MacDonald function and discover various combinations of these functions which are Fourier kernels or conjugate Fourier kernels. Also a large number of integration formulae are established involving these kernels.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1994-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-c3bbe3e32a2e488793f9d306589292282025-02-03T06:00:35ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-0117230131410.1155/S016117129400044XOn a generalization of Hankel kernelC. Nasim0B. D. Aggarwala1Department of Mathematics and Statistics, University of Calgary, Alberta, Calgary T2N 1N4, CanadaDepartment of Mathematics and Statistics, University of Calgary, Alberta, Calgary T2N 1N4, CanadaWe consider an expression involving the Bessel function, the Neumann function and the MacDonald function and discover various combinations of these functions which are Fourier kernels or conjugate Fourier kernels. Also a large number of integration formulae are established involving these kernels.http://dx.doi.org/10.1155/S016117129400044XFourier kernelsconjugate Fourier kernelsMellin transformsBessel functionsNeumann functionsMacDonald functionselastic plates.
spellingShingle C. Nasim
B. D. Aggarwala
On a generalization of Hankel kernel
International Journal of Mathematics and Mathematical Sciences
Fourier kernels
conjugate Fourier kernels
Mellin transforms
Bessel functions
Neumann functions
MacDonald functions
elastic plates.
title On a generalization of Hankel kernel
title_full On a generalization of Hankel kernel
title_fullStr On a generalization of Hankel kernel
title_full_unstemmed On a generalization of Hankel kernel
title_short On a generalization of Hankel kernel
title_sort on a generalization of hankel kernel
topic Fourier kernels
conjugate Fourier kernels
Mellin transforms
Bessel functions
Neumann functions
MacDonald functions
elastic plates.
url http://dx.doi.org/10.1155/S016117129400044X
work_keys_str_mv AT cnasim onageneralizationofhankelkernel
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