New identities involving the Laplace and the \({\mathcal L}_2\)-transforms and their applications
type: Item
instance of: scholarly article
title: New identities involving the Laplace and the \({\mathcal L}_2\)-transforms and their applications
zbMATH Open document ID: 0928.44001
DOI: 10.1016/S0096-3003(98)00002-2
author: Osman Yürekli
published in: Applied Mathematics and Computation
publication date: 2000-01-09T00:00:00Z
review text: The integral transform \[ {\mathcal L}_2\bigl\{f(x); y\bigr\}= \int^\infty_0 x\exp(-x^2y^2) f(x)dx=\textstyle{1\over 2} {\mathcal L}_2\bigl\{f(x^{1/2}); y^2\bigr\} \] is considered. Identities are obtained which involve this, the Laplace, and the Widder transforms. As a consequence of these identities, the evaluations are made of a number of specific integrals, many of which involve the error functions.
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 44A15
Mathematics Subject Classification ID: 44A20
zbMATH DE Number: 1311101
zbMATH Keywords: Laplace transforms
zbMATH Keywords: error functions
zbMATH Keywords: identities
zbMATH Keywords: Widder transforms
reviewed by: Robert G. Buschman
MaRDI profile type: Publication
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full work available at URL: s0096-3003(98)00002-2
OpenAlex ID: W2137328740
description: scientific article; zbMATH DE number 1311101