Theorems on L 2 -transform and its applications

DOI10.1080/17476939908815157zbMath1025.44001OpenAlexW2278463932MaRDI QIDQ4487893

Osman Yürekli

Publication date: 25 June 2000

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476939908815157

zbMATH Keywords

Laplace transformspecial functionsinfinite integralsWidder transformParseval-Goldstein theorem\({\mathcal K}\)-transform

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Laplace transform (44A10) Other functions defined by series and integrals (33E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (11)

Onq-Laplace type integral operators and their applications ⋮ Parseval–Goldstein type identities involving the ℒ₄-transform and the 𝒫₄-transform and their applications ⋮ Identities for the \(\mathcal {E}_{2,1}\)-transform and their applications ⋮ Theory and applications on a new generalized Laplace‐type integral transform ⋮ Some results for Laplace-type integral operator in quantum calculus ⋮ 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 ⋮ New method for solving system of P.F.D.E. and fractional evolution disturbance equation of distributed order ⋮ Identities and Parseval type relations for the \({\mathcal L} _2\)-transform ⋮ SOLVING PARTIAL FRACTIONAL DIFFERENTIAL EQUATIONS USING THE $\mathcal{L}_A $-TRANSFORM ⋮ A generalization of the Widder potential transform and applications

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