Evaluation of harmonic number series involving the binomial coefficient $C(3n,n)$ in the denominator by integration
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866917852778332160 |
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| author | Adegoke, Kunle Frontczak, Robert |
| author_facet | Adegoke, Kunle Frontczak, Robert |
| contents | Two classes of infinite series involving harmonic numbers and the binomial coefficient $C(3n,n)$ are evaluated in closed form using integrals. Several remarkable integral values and difficult series identities are stated as special cases of the main results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00024 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Evaluation of harmonic number series involving the binomial coefficient $C(3n,n)$ in the denominator by integration Adegoke, Kunle Frontczak, Robert General Mathematics 11G55, 33B30 Two classes of infinite series involving harmonic numbers and the binomial coefficient $C(3n,n)$ are evaluated in closed form using integrals. Several remarkable integral values and difficult series identities are stated as special cases of the main results. |
| title | Evaluation of harmonic number series involving the binomial coefficient $C(3n,n)$ in the denominator by integration |
| topic | General Mathematics 11G55, 33B30 |
| url | https://arxiv.org/abs/2412.00024 |