Series associated with a forgotten identity of Nörlund
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910677749202944 |
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| author | Adegoke, Kunle Frontczak, Robert |
| author_facet | Adegoke, Kunle Frontczak, Robert |
| contents | We apply a seemingly forgotten series expression of Nörlund for the psi function to express infinite series involving inverse factorials in closed form. Many of such series contain products of Catalan numbers and (odd) harmonic numbers. We also prove some new series for $π$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_22343 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Series associated with a forgotten identity of Nörlund Adegoke, Kunle Frontczak, Robert General Mathematics 30B50, 33E20 We apply a seemingly forgotten series expression of Nörlund for the psi function to express infinite series involving inverse factorials in closed form. Many of such series contain products of Catalan numbers and (odd) harmonic numbers. We also prove some new series for $π$. |
| title | Series associated with a forgotten identity of Nörlund |
| topic | General Mathematics 30B50, 33E20 |
| url | https://arxiv.org/abs/2410.22343 |