Parseval–Goldstein type identities involving the ℒ4-transform and the 𝒫4-transform and their applications

DOI10.1080/10652460701210318zbMath1120.44002OpenAlexW2031747121MaRDI QIDQ5297960

Osman Yürekli, Neşe Dernek, Hari M. Srivastava

Publication date: 16 July 2007

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

Full work available at URL: https://doi.org/10.1080/10652460701210318

zbMATH Keywords

Laplace transformsHankel transformsStieltjes transformsParseval-Goldstein type theoremsWidder potential transformsFourier sine transformsFourier cosine transforms\({\mathcal L}_2\) transforms\({\mathcal L}_4\) transforms\({\mathcal P}_4\) transforms

Mathematics Subject Classification ID

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

Related Items (6)

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 ⋮ Some identities on fractional integrals and integral transforms ⋮ On some generalized integral transforms and Parseval-Goldstein type relations ⋮ A generalization of the Widder potential transform and applications ⋮ A distributional inversion formula for a generalization of the Stieltjes and Poisson transforms

Cites Work

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• A theorem on a stieltjes-type integral transform and its applications
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