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arXiv 2403.09698math.GM
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Morrie定律与Euler乘积公式的新推广

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

Carlos A. Pérez Aparicio

AI总结:

本研究通过将sinc(z)函数表示为三角形式推导出其无穷乘积表示,建立了与Morrie定律和Euler乘积公式及其推广的联系,为该主题提供了全新的见解。

摘要:

本研究通过将sinc(z)函数表示为三角形式,推导出其无穷乘积表示,引发与Morrie定律、Euler乘积公式及其推广的相似性。所得结果完全新颖,有望为该主题引入新见解。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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