Identities for the \(\mathcal {E}_{2,1}\)-transform and their applications

DOI10.1016/J.AMC.2006.09.139zbMath1228.44001OpenAlexW2050781686MaRDI QIDQ883989

N. E. Zubov

Publication date: 12 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.09.139

zbMATH Keywords

Laplace transformsHankel transformsMellin transformsStieltjes transformsParseval-Goldstein type theorems\(\mathcal {E}_{2,1}\)-transforms\(\mathcal {L}_2\)-transforms\(K\)-transformsFourier sine transformsWidder potential transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Laplace transform (44A10)

Related Items (7)

Some extensions of a certain integral transform to a quotient space of generalized functions ⋮ The $q$-analogue of the $E_{2;1}$-transform and its applications ⋮ 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 \(\mathcal{F}_{c, 2 n}\) ⋮ 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 ⋮ SOLVING PARTIAL FRACTIONAL DIFFERENTIAL EQUATIONS USING THE $\mathcal{L}_A $-TRANSFORM ⋮ SOLUTION TO SYSTEM OF PARTIAL FRACTIONAL DIFFERENTIAL EQUATIONS USING THE $\mathcal{L}_2$-TRANSFORM ⋮ A generalization of the Widder potential transform and applications

Cites Work

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• 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
• Theorems on L ₂ -transform and its applications
• A Parseval-type Theorem Applied to Certain Integral Transforms
• A theorem on a stieltjes-type integral transform and its applications

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