Identities for the Hankel transform and their applications

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dc.creatorDernek, Ahmet
dc.creatorDernek, Nese
dc.creatorYurekli, Osman
dc.date2008-07-30
dc.date.accessioned2026-07-07T09:53:44Z
dc.date.available2026-07-07T09:53:44Z
dc.descriptionIn the present paper the authors show that iterations of the Hankel transform with $\mathscr{K}_ν$-transform is a constant multiple of the Widder transform. Using these iteration identities, several Parseval-Goldstein type theorems for these transforms are given. By making use of these results a number of new Goldstein type exchange identities are obtained for these and the Laplace transform. The identities proven in this paper are shown to give rise to useful corollaries for evaluating infinite integrals of special functions. Some examples are also given as illustration of the results presented here.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0807.4835
dc.identifierhttp://arxiv.org/abs/0807.4835
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166059
dc.subjectClassical Analysis and ODEs
dc.subject44A10; 44A15
dc.titleIdentities for the Hankel transform and their applications
dc.typetext

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