Evaluation of some alternating series involving the binomial coefficients $C(4n,2n)$
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917634034892800 |
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| author | Adegoke, Kunle Frontczak, Robert Goy, Taras |
| author_facet | Adegoke, Kunle Frontczak, Robert Goy, Taras |
| contents | We evaluate in closed form several alternating infinite series involving the binomial coefficients $C(4n,2n)$ and $C(4n+2,2n+1)$ in the denominator. One of our results generalizes an identity that was obtained experimentally by Sprugnoli in 2006. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_05770 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Evaluation of some alternating series involving the binomial coefficients $C(4n,2n)$ Adegoke, Kunle Frontczak, Robert Goy, Taras Number Theory 40A30, 11B37, 11B39 We evaluate in closed form several alternating infinite series involving the binomial coefficients $C(4n,2n)$ and $C(4n+2,2n+1)$ in the denominator. One of our results generalizes an identity that was obtained experimentally by Sprugnoli in 2006. |
| title | Evaluation of some alternating series involving the binomial coefficients $C(4n,2n)$ |
| topic | Number Theory 40A30, 11B37, 11B39 |
| url | https://arxiv.org/abs/2404.05770 |