Publication:
A generalization of the L2-transform and its applications

dc.contributor.authorsGüncan A., Uçar F.
dc.date.accessioned2022-03-28T15:07:14Z
dc.date.accessioned2026-01-11T05:57:45Z
dc.date.available2022-03-28T15:07:14Z
dc.date.issued2016
dc.description.abstractThe purpose of this paper is to generalize the Laplace-type L2 transform to the L2n-transform by introducing the number n in the formula for L2. A similar generalization P2n of the Widder potential-transform is also given. The main result is a collection of formulas linking e.g. the integral of a product of two P2n-transforms in terms of an integral of one of the functions against the the P2n-transform of the other. This equation is a kind of Parseval identity, as known from Fourier analysis. © 2016, Universitatii Al.I.Cuza din Iasi. All rights reserved.
dc.identifier.issn12218421
dc.identifier.urihttps://hdl.handle.net/11424/257196
dc.language.isoeng
dc.publisherUniversitatii Al.I.Cuza din Iasi
dc.relation.ispartofAnalele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectE2,1-transforms
dc.subjectL2-transforms
dc.subjectLaplace transforms
dc.subjectParseval-goldstein type theorems
dc.subjectWidder potential transforms
dc.titleA generalization of the L2-transform and its applications
dc.typearticle
dspace.entity.typePublication
oaire.citation.endPage715
oaire.citation.issueF2
oaire.citation.startPage705
oaire.citation.titleAnalele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica
oaire.citation.volume3

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