Curious multisection identities by index factorization
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911876849336320 |
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| author | Vignat, C. Milgram, M. |
| author_facet | Vignat, C. Milgram, M. |
| contents | This manuscript introduces a general multisection identity expressed equivalently in terms of infinite double products and/or infinite double series, from which several new product or summation identities involving special functions including Gamma, hyperbolic trigonometric, polygamma, zeta and Jacobi theta functions, are derived. It is shown that a parameterized version of this multisection identity exists, a specialization of which coincides with the standard multisection identity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_17585 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Curious multisection identities by index factorization Vignat, C. Milgram, M. Number Theory 11Y05, 11Y40, 05E99, 40C99 This manuscript introduces a general multisection identity expressed equivalently in terms of infinite double products and/or infinite double series, from which several new product or summation identities involving special functions including Gamma, hyperbolic trigonometric, polygamma, zeta and Jacobi theta functions, are derived. It is shown that a parameterized version of this multisection identity exists, a specialization of which coincides with the standard multisection identity. |
| title | Curious multisection identities by index factorization |
| topic | Number Theory 11Y05, 11Y40, 05E99, 40C99 |
| url | https://arxiv.org/abs/2305.17585 |