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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Format: | Article |
Language: | English |
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Wiley
1994-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
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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 |
id | doaj-art-c3bbe3e32a2e488793f9d30658929228 |
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 AT bdaggarwala onageneralizationofhankelkernel |