About calculation of the Hankel transform using preliminary wavelet transform
The purpose of this paper is to present an algorithm for evaluating Hankel transform of the null and the first kind. The result is the exact analytical representation as the series of the Bessel and Struve functions multiplied by the wavelet coefficients of the input function. Numerical evaluation o...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X03208020 |
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| _version_ | 1850234883729784832 |
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| author | E. B. Postnikov |
| author_facet | E. B. Postnikov |
| author_sort | E. B. Postnikov |
| collection | DOAJ |
| description | The purpose of this paper is to present an algorithm for
evaluating Hankel transform of the null and the first kind. The
result is the exact analytical representation as the series of the
Bessel and Struve functions multiplied by the wavelet coefficients of the input function. Numerical evaluation of the test function with known analytical Hankel
transform illustrates the proposed algorithm. |
| format | Article |
| id | doaj-art-1792fa875cbe45519b4bf8141e237add |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-1792fa875cbe45519b4bf8141e237add2025-08-20T02:02:29ZengWileyJournal of Applied Mathematics1110-757X1687-00422003-01-012003631932510.1155/S1110757X03208020About calculation of the Hankel transform using preliminary wavelet transformE. B. Postnikov0Theoretical Physics Department, Kursk State Pedagogical University, Radischeva st. 33, Kursk 305000, RussiaThe purpose of this paper is to present an algorithm for evaluating Hankel transform of the null and the first kind. The result is the exact analytical representation as the series of the Bessel and Struve functions multiplied by the wavelet coefficients of the input function. Numerical evaluation of the test function with known analytical Hankel transform illustrates the proposed algorithm.http://dx.doi.org/10.1155/S1110757X03208020 |
| spellingShingle | E. B. Postnikov About calculation of the Hankel transform using preliminary wavelet transform Journal of Applied Mathematics |
| title | About calculation of the Hankel transform using preliminary
wavelet transform |
| title_full | About calculation of the Hankel transform using preliminary
wavelet transform |
| title_fullStr | About calculation of the Hankel transform using preliminary
wavelet transform |
| title_full_unstemmed | About calculation of the Hankel transform using preliminary
wavelet transform |
| title_short | About calculation of the Hankel transform using preliminary
wavelet transform |
| title_sort | about calculation of the hankel transform using preliminary wavelet transform |
| url | http://dx.doi.org/10.1155/S1110757X03208020 |
| work_keys_str_mv | AT ebpostnikov aboutcalculationofthehankeltransformusingpreliminarywavelettransform |