Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/73216
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dc.contributor.authorLinares Linares, M.en_US
dc.contributor.authorMendez Pérez, J. M.R.en_US
dc.date.accessioned2020-06-11T12:42:30Z-
dc.date.available2020-06-11T12:42:30Z-
dc.date.issued1992en_US
dc.identifier.issn0161-1712en_US
dc.identifier.otherScopus-
dc.identifier.urihttp://hdl.handle.net/10553/73216-
dc.description.abstractFour selfreciprocal integral transformations of Hankel type are defined through [formula omitted] where i = 1, 2, 3, 4; μ ≥ 0; α1(x) = x1 +2μ, g1,μ(x) = x−μJμ(x), Jμ(x) being the Bessel function of the first kind of order; μ; α2(x) = x1−2μ, g2,μ(x) =(−1)μx2μ g1,μ(x); α3(x) = x−1−2μ, g3,μ(x) = x1+2μ g1,μ(x), and α4(x) = x−1+2μ, g4,μ(x) = (−1)μx g1,μ(x). The simultaneous use of transformations H1,μ and H2,μ (which are denoted by Hμ) allows us to solve many problems of Mathematical Physics involving the differential operator Δμ = D2 + (1 + 2μ)x−1D, whereas the pair of transformations H3,μ and H4,μ (which we express by Hμ) permits us to tackle those problems containing its adjoint operator [formula omitted], no matter what the real value of μ be. These transformations are also investigated in a space of generalized functions according to the mixed Parseval equation [formula omitted], which is now valid for all real μ. © 1987, Hindawi Publishing Corporation. All rights reserved.en_US
dc.languageengen_US
dc.relation.ispartofInternational Journal of Mathematics and Mathematical Sciencesen_US
dc.sourceInternational Journal of Mathematics and Mathematical Sciences [ISSN 0161-1712], v. 15 (2), p. 323-332, (Enero 1992)en_US
dc.subject1202 Análisis y análisis funcionalen_US
dc.subject120218 Calculo operacionalen_US
dc.subject.otherComplementary Hankel transformationsen_US
dc.subject.otherGeneralized functionsen_US
dc.subject.otherParseval equationen_US
dc.titleHankel complementary integral transformations of arbitrary orderen_US
dc.typeinfo:eu-repo/semantics/Articleen_US
dc.typeArticleen_US
dc.identifier.doi10.1155/S0161171292000401en_US
dc.identifier.scopus41849113879-
dc.contributor.authorscopusid57213632178-
dc.contributor.authorscopusid55666268100-
dc.identifier.eissn1687-0425-
dc.description.lastpage332en_US
dc.identifier.issue2-
dc.description.firstpage323en_US
dc.relation.volume15en_US
dc.investigacionCienciasen_US
dc.type2Artículoen_US
dc.utils.revisionen_US
dc.date.coverdateEnero 1992en_US
dc.identifier.ulpgces
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