On closed forms of some trigonometric series
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910532017061888 |
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| author | Tričković, Slobodan B. Stanković, Miomir S. |
| author_facet | Tričković, Slobodan B. Stanković, Miomir S. |
| contents | We have derived alternative closed-form formulas for the trigonometric series over sine or cosine functions when the immediate replacement of the parameter appearing in the denominator with a positive integer gives rise to a singularity. By applying the Choi-Srivastava theorem, we reduce these trigonometric series to expressions over Hurwitz's zeta function derivative. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_12885 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On closed forms of some trigonometric series Tričković, Slobodan B. Stanković, Miomir S. Classical Analysis and ODEs Primary 11M41, Secondary 33B15 We have derived alternative closed-form formulas for the trigonometric series over sine or cosine functions when the immediate replacement of the parameter appearing in the denominator with a positive integer gives rise to a singularity. By applying the Choi-Srivastava theorem, we reduce these trigonometric series to expressions over Hurwitz's zeta function derivative. |
| title | On closed forms of some trigonometric series |
| topic | Classical Analysis and ODEs Primary 11M41, Secondary 33B15 |
| url | https://arxiv.org/abs/2407.12885 |