A generalization of the Widder potential transform and applications

DOI10.1080/10652469.2010.513110zbMath1228.44006arXiv0808.0317OpenAlexW2056505620MaRDI QIDQ3092982

Osman Yürekli, Yilmaz Simsek, Veli Kurt, Neşe Dernek

Publication date: 12 October 2011

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.0317

zbMATH Keywords

Laplace transformsHankel transformsWidder potential transformsGlasser transformsspecial integral transforms\(\kappa_\nu\)-transforms\(\mathcal L_2\)-transforms\(\mathcal P_{\nu, 2}\)-transformsiteration of transformsParseval-Goldstein-type identitiesParseval-Goldstein-type theorems

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Laplace transform (44A10)

Related Items (3)

Some families of the general Mathieu‐type series with associated properties and functional inequalities ⋮ Some results on the $P_{v,2n}$, $K_{v,n}$, and $H_{v,n}$-integral transforms ⋮ Some identities on fractional integrals and integral transforms

Cites Work

• Unnamed Item
• Unnamed Item
• 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
• The decomposition of Walsh and Fourier series
• NECESSARY AND SUFFICIENT CONDITIONS FOR THE REPRESENTABILITY OF A POSITIVE HOMOGENEOUS FUNCTION OF THREE VARIABLES IN THE FORM OF A DIFFERENCE OF CONVEX FUNCTIONS
• Operational Representations of Whittaker's Confluent Hypergeometric Function and Weber's Parabolic Cylinder Function
• Theorems on L ₂ -transform and its applications
• A Parseval-type Theorem Applied to Certain Integral Transforms
• A theorem on the glasser transform and its applications
• 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: A generalization of the Widder potential transform and applications