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

DOI10.1016/J.AMC.2008.02.020zbMath1209.44004OpenAlexW2127621069MaRDI QIDQ941511

Osman Yürekli, Neşe Dernek, Hari M. Srivastava

Publication date: 1 September 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.02.020

zbMATH Keywords

Laplace transformsHankel transformsStieltjes transformsParseval-Goldstein type theoremsWidder potential transformsFourier sine transforms\(\mathcal F_{C,2}\)-transforms\(\mathcal F_{S,2}\)-transforms\(\mathcal K\)-transforms\(\mathcal L _2\)-transforms\(\mathcal P_{4}\)-transformsFourier cosine transforms

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (3)

Some integral identities for products of Airy functions using integral transforms ⋮ Some results on the $P_{v,2n}$, $K_{v,n}$, and $H_{v,n}$-integral transforms ⋮ New identities and Parseval type relations for the generalized integral transforms \(\mathcal{L}_{4 n}\), \(\mathcal{P}_{4 n}\), \(\mathcal{F}_{s, 2 n}\) and \(\mathcal{F}_{c, 2 n}\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A theorem on Widder's potential transform and its applications
• Identities for the \(\mathcal {E}_{2,1}\)-transform and their applications
• A Parseval-Goldstein type theorem on the Widder potential transform and its applications
• New identities involving the Laplace and the \({\mathcal L}_2\)-transforms and their applications
• A new method of solving Hermite's differential equation using the \(\mathcal L_2\)-transform.
• A new method of solving Bessel's differential equation using the \(\mathcal L_2\)-transform
• A transform related to the Poisson integral for a half-plane
• A theorem on a Laplace‐type integral transform and its applications
• Theorems on L ₂ -transform and its applications
• A Parseval-type Theorem Applied to Certain Integral Transforms
• Some inversion formulas for the widder potential transform
• A theorem on a stieltjes-type integral transform and its applications
• A note on the Widder transform related to the Poisson integral for a half‐plane†
• Parseval–Goldstein type identities involving the ℒ₄-transform and the 𝒫₄-transform and their applications

This page was built for publication: 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