Some Parseval-Goldstein type identities involving the \(\mathcal F_{S,2}\)-transform, the \(\mathcal F_{C,2}\)-transform and the \(\mathcal P_{4}\)-transform and their applications
type: Item
instance of: scholarly article
title: Some Parseval-Goldstein type identities involving the \(\mathcal F_{S,2}\)-transform, the \(\mathcal F_{C,2}\)-transform and the \(\mathcal P_{4}\)-transform and their applications
zbMATH Open document ID: 1209.44004
author: Neşe Dernek
author: Osman Yürekli
author: H. M. Srivastava
published in: Applied Mathematics and Computation
publication date: 2008-09-01T00:00:00Z
Mathematics Subject Classification ID: 44A15
Mathematics Subject Classification ID: 42A38
zbMATH DE Number: 5318722
zbMATH Keywords: Laplace transforms
zbMATH Keywords: Widder potential transforms
zbMATH Keywords: \(\mathcal L _2\)-transforms
zbMATH Keywords: \(\mathcal F_{S,2}\)-transforms
zbMATH Keywords: \(\mathcal F_{C,2}\)-transforms
zbMATH Keywords: \(\mathcal P_{4}\)-transforms
zbMATH Keywords: Stieltjes transforms
zbMATH Keywords: \(\mathcal K\)-transforms
zbMATH Keywords: Hankel transforms
zbMATH Keywords: Fourier sine transforms
zbMATH Keywords: Fourier cosine transforms
zbMATH Keywords: Parseval-Goldstein type theorems
MaRDI profile type: Publication
full work available at URL: j.amc.2008.02.020
OpenAlex ID: W2127621069
cites work: Identities for the \(\mathcal {E}_{2,1}\)-transform and their applications
cites work: Parseval–Goldstein type identities involving the ℒ4-transform and the 𝒫4-transform and their applications
cites work: Q5827353
cites work: Q4515165
cites work: Q5849166
cites work: Q3997081
cites work: A note on the Widder transform related to the Poisson integral for a half‐plane†
cites work: A theorem on Widder's potential transform and its applications
cites work: A theorem on a stieltjes-type integral transform and its applications
cites work: Some inversion formulas for the widder potential transform
cites work: A transform related to the Poisson integral for a half-plane
cites work: A Parseval-type Theorem Applied to Certain Integral Transforms
cites work: Theorems on L 2 -transform and its applications
cites work: New identities involving the Laplace and the \({\mathcal L}_2\)-transforms and their applications
cites work: Q4359703
cites work: A Parseval-Goldstein type theorem on the Widder potential transform and its applications
cites work: A theorem on a Laplace‐type integral transform and its applications
cites work: A new method of solving Bessel's differential equation using the \(\mathcal L_2\)-transform
cites work: A new method of solving Hermite's differential equation using the \(\mathcal L_2\)-transform.
DOI: 10.1016/J.AMC.2008.02.020
description: scientific article; zbMATH DE number 5318722