Vol. 31 (2021)
Articles

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

M.L. Glasser
Department of Physics, Clarkson University, Potsdam, NY, U.S.A. Departamento de F´ısica Teorica, ´ Universidad de Valladolid, Valladolid, Spain.

Published 2021-07-16

Keywords

  • Laplace transform,
  • sinc integrals

How to Cite

A note on the Laplace transform of \(\left|\frac{\sin(x)}{x}\right|^p.\). (2021). Scientia Series A: Mathematical Sciences, 31, 57-60. https://revistas.usm.cl/scientia/article/view/31

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. 

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