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

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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Publication Details

Journal
REVISTAS
Published
2025-08-25
DOI
https://doi.org/10.71712/9y1r-z950
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
0.00
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article

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

REVISTAS
Geochemistry and Geologic Mapping
article

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

article en

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.

REVISTAS
Universidad de Valladolid (ES), Clarkson University (US)
Reduced inequalities
Openalex Percentile: Top 67%
Geochemistry and Geologic Mapping
DOIOpen Access PDFOpenAlex
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A note on the Laplace transform of \(\left|\frac{\sin(x)}{x}\right|^p.\) · REVISTAS (2025) | TGRS Research Map | TGRS