Series over Bessel functions as series in terms of Riemann's zeta function
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866914875323711488 |
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| author | Tričković, Slobodan B. Stanković, Miomir S. |
| author_facet | Tričković, Slobodan B. Stanković, Miomir S. |
| contents | Relying on the Hurwitz formula, we find sums of the series over sine and cosine functions through the Hurwitz zeta function. Using another summation formula for these trigonometric series, we find finite sums of some series over the Riemann zeta function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13004 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Series over Bessel functions as series in terms of Riemann's zeta function Tričković, Slobodan B. Stanković, Miomir S. Number Theory Classical Analysis and ODEs 11M35, 33B15, 33E20 Relying on the Hurwitz formula, we find sums of the series over sine and cosine functions through the Hurwitz zeta function. Using another summation formula for these trigonometric series, we find finite sums of some series over the Riemann zeta function. |
| title | Series over Bessel functions as series in terms of Riemann's zeta function |
| topic | Number Theory Classical Analysis and ODEs 11M35, 33B15, 33E20 |
| url | https://arxiv.org/abs/2407.13004 |