A note on the Laplace transform of \(\left|\frac{\sin(x)}{x}\right|^p.\)

M.L. Glasser

doi:10.71712/9Y1R-Z950

PDF

Published: 2021-01-08

DOI: https://doi.org/10.71712/9Y1R-Z950

Keywords:

Laplace transform, sinc integrals

M.L. Glasser

Department of Physics, Clarkson University, Potsdam, NY, USA. Departamento de Física Teórica, Universidad de Valladolid, Spain

Abstract

This note concerns the derivation of several sum and integral identities relating to the Laplace transform \(\int_0^{\infty} e^{-ax} \left|\frac{\sin(x)}{x}\right|^p dx\) and related integrals.

Issue

Vol. 31 (2021)

Section

Articles

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Glasser, M. (2021). A note on the Laplace transform of \(\left|\frac{\sin(x)}{x}\right|^p.\). Scientia Series A: Mathematical Sciences, 31, 57-60. https://doi.org/10.71712/9Y1R-Z950