New Generalizations of Morrie's Law and the Euler Product Formula
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914725795725312 |
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| author | Aparicio, Carlos A. Pérez |
| author_facet | Aparicio, Carlos A. Pérez |
| contents | In this study, we derive the infinite product representation of the $\operatorname{sinc}(\mathrm{z})$ function by expressing it in a trigonometric form, evoking similarities to Morrie's Law and Euler's Product formula, along with their generalizations. The results presented in this investigation are entirely novel and are believed to introduce new insights into the topic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_09698 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New Generalizations of Morrie's Law and the Euler Product Formula Aparicio, Carlos A. Pérez General Mathematics In this study, we derive the infinite product representation of the $\operatorname{sinc}(\mathrm{z})$ function by expressing it in a trigonometric form, evoking similarities to Morrie's Law and Euler's Product formula, along with their generalizations. The results presented in this investigation are entirely novel and are believed to introduce new insights into the topic. |
| title | New Generalizations of Morrie's Law and the Euler Product Formula |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2403.09698 |