Solutions of an ordinary differential equation as a class of Fourier kernels
While there are various methods of generating Fourier kernels mentioned in the literature it is not so well recognized that Fourier kernels can be obtained as solutions of differential equations. In this note we define a class of Fourier kernels, which are solutions of a k - fold Bessel equation.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171290000606 |
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Article |
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doaj-7ad3dc8ab5694827ab612c7df88f94ba2020-11-24T21:35:19ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113239740310.1155/S0161171290000606Solutions of an ordinary differential equation as a class of Fourier kernelsB. Aggarwala0C. Nasim1Department of Mathematics and Statistics, The University of Calgary, Alberta T2N 1N4, CanadaDepartment of Mathematics and Statistics, The University of Calgary, Alberta T2N 1N4, CanadaWhile there are various methods of generating Fourier kernels mentioned in the literature it is not so well recognized that Fourier kernels can be obtained as solutions of differential equations. In this note we define a class of Fourier kernels, which are solutions of a k - fold Bessel equation.http://dx.doi.org/10.1155/S0161171290000606Bessel equationthe Bessel functions JνYνKν of order νFourier kernelsHankel kernelMellin transform. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
B. Aggarwala C. Nasim |
| spellingShingle |
B. Aggarwala C. Nasim Solutions of an ordinary differential equation as a class of Fourier kernels International Journal of Mathematics and Mathematical Sciences Bessel equation the Bessel functions Jν Yν Kν of order ν Fourier kernels Hankel kernel Mellin transform. |
| author_facet |
B. Aggarwala C. Nasim |
| author_sort |
B. Aggarwala |
| title |
Solutions of an ordinary differential equation as a class of Fourier kernels |
| title_short |
Solutions of an ordinary differential equation as a class of Fourier kernels |
| title_full |
Solutions of an ordinary differential equation as a class of Fourier kernels |
| title_fullStr |
Solutions of an ordinary differential equation as a class of Fourier kernels |
| title_full_unstemmed |
Solutions of an ordinary differential equation as a class of Fourier kernels |
| title_sort |
solutions of an ordinary differential equation as a class of fourier kernels |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1990-01-01 |
| description |
While there are various methods of generating Fourier kernels mentioned in the literature it is not so well recognized that Fourier kernels can be obtained as solutions of differential equations. In this note we define a class of Fourier kernels, which are solutions of a k - fold Bessel equation. |
| topic |
Bessel equation the Bessel functions Jν Yν Kν of order ν Fourier kernels Hankel kernel Mellin transform. |
| url |
http://dx.doi.org/10.1155/S0161171290000606 |
| work_keys_str_mv |
AT baggarwala solutionsofanordinarydifferentialequationasaclassoffourierkernels AT cnasim solutionsofanordinarydifferentialequationasaclassoffourierkernels |
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