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

Carlos A. Pérez Aparicio

Abstract

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.

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

Abstract

In this study, we derive the infinite product representation of the 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.
Paper Structure (4 sections, 15 equations)

This paper contains 4 sections, 15 equations.

Table of Contents

  1. 1. Introduction
  2. 2. New Generalizations of the Morrie's law.
  3. 3. Sinc(z) function formulas and New Generalizations of the Morrie's law type.
  4. References