Definite integrals involving Bessel functions expressed as a series of special functions
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866913767742242816 |
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| author | Reynolds, Robert |
| author_facet | Reynolds, Robert |
| contents | Series involving hypergeometric functions are used to derive, extend and evaluate integrals involving the product of two Bessel functions of the first kind $J_{u}(a z)$ $J_{v}(b z)$ with order $u,v$, studied by Landau et al. The method used in this work is contour integration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_14876 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Definite integrals involving Bessel functions expressed as a series of special functions Reynolds, Robert General Mathematics Primary 30E20, 33-01, 33-03, 33-04 Series involving hypergeometric functions are used to derive, extend and evaluate integrals involving the product of two Bessel functions of the first kind $J_{u}(a z)$ $J_{v}(b z)$ with order $u,v$, studied by Landau et al. The method used in this work is contour integration. |
| title | Definite integrals involving Bessel functions expressed as a series of special functions |
| topic | General Mathematics Primary 30E20, 33-01, 33-03, 33-04 |
| url | https://arxiv.org/abs/2502.14876 |