English

New Generalizations of Morrie's Law and the Euler Product Formula

General Mathematics 2024-03-26 v2

Abstract

In this study, we derive the infinite product representation of the sinc(z)\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.

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Cite

@article{arxiv.2403.09698,
  title  = {New Generalizations of Morrie's Law and the Euler Product Formula},
  author = {Carlos A. Pérez Aparicio},
  journal= {arXiv preprint arXiv:2403.09698},
  year   = {2024}
}

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4 pages