Using Wavelets Based on B-splines for Calculation of the Hankel Transform
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arXiv
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| Format: | Preprint |
| Published: |
2004
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| _version_ | 1866912655651897344 |
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| author | Postnikov, Eugene B. |
| author_facet | Postnikov, Eugene B. |
| contents | The purpose of this paper is to represent the integral Hankel transform as a series. If one uses B-spline wavelet this series is a linear combination of the hypergeometrical functions. Numerical evaluation of the test function with known analytical Hankel transform of the null kind illustrates the proposed results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0403355 |
| institution | arXiv |
| publishDate | 2004 |
| record_format | arxiv |
| spellingShingle | Using Wavelets Based on B-splines for Calculation of the Hankel Transform Postnikov, Eugene B. Numerical Analysis 44A15; 65R10 The purpose of this paper is to represent the integral Hankel transform as a series. If one uses B-spline wavelet this series is a linear combination of the hypergeometrical functions. Numerical evaluation of the test function with known analytical Hankel transform of the null kind illustrates the proposed results. |
| title | Using Wavelets Based on B-splines for Calculation of the Hankel Transform |
| topic | Numerical Analysis 44A15; 65R10 |
| url | https://arxiv.org/abs/math/0403355 |