Explicit inversion of cosh-weighted Finite Hilbert Transform
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arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866917527210164224 |
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| author | You, Jiangsheng |
| author_facet | You, Jiangsheng |
| contents | Several identities of the cosh-weighted finite Hilbert Transform and the Bertola-Katsevich-Tovbis inversion formulas are rederived by the Sokhotski-Plemelj formula and the Poincare-Bertrand formula. The explicit formulas are derived for the cosh-weighted Hilbert transform of the exponential Chebyshev functions. Numerical experiments are performed to study the computational effects of the inversion formulas. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2002_12723 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Explicit inversion of cosh-weighted Finite Hilbert Transform You, Jiangsheng General Mathematics Several identities of the cosh-weighted finite Hilbert Transform and the Bertola-Katsevich-Tovbis inversion formulas are rederived by the Sokhotski-Plemelj formula and the Poincare-Bertrand formula. The explicit formulas are derived for the cosh-weighted Hilbert transform of the exponential Chebyshev functions. Numerical experiments are performed to study the computational effects of the inversion formulas. |
| title | Explicit inversion of cosh-weighted Finite Hilbert Transform |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2002.12723 |