On some Series involving Reciprocals of $\binom{2n}{n}$ and the Catalan's Constant $G$
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910704076849152 |
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| author | Akerele, Olofin Adeshina, Quadri |
| author_facet | Akerele, Olofin Adeshina, Quadri |
| contents | We investigate a class of combinatorial sums involving reciprocals of central binomial coefficients , employing generating functions as the primary solution technique to formulate and analyze series involving the Catalan's constant. Using a direct approach, we derive new identities through integral techniques. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_11884 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On some Series involving Reciprocals of $\binom{2n}{n}$ and the Catalan's Constant $G$ Akerele, Olofin Adeshina, Quadri General Mathematics 11B65, 33BXX, 33C05 We investigate a class of combinatorial sums involving reciprocals of central binomial coefficients , employing generating functions as the primary solution technique to formulate and analyze series involving the Catalan's constant. Using a direct approach, we derive new identities through integral techniques. |
| title | On some Series involving Reciprocals of $\binom{2n}{n}$ and the Catalan's Constant $G$ |
| topic | General Mathematics 11B65, 33BXX, 33C05 |
| url | https://arxiv.org/abs/2411.11884 |