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Euler matrices and their algebraic properties revisited

dc.contributor.authorQuintana, Yamiletspa
dc.contributor.authorRamírez, Williamspa
dc.contributor.authorUrielesspa
dc.date.accessioned2020-06-30T22:10:57Z
dc.date.available2020-06-30T22:10:57Z
dc.date.issued2020
dc.identifier.issn1935-0090spa
dc.identifier.issn2325-0399spa
dc.identifier.urihttps://hdl.handle.net/11323/6443spa
dc.description.abstractThis paper addresses the generalized Euler polynomial matrix E (α) (x) and the Euler matrix E . Taking into account some properties of Euler polynomials and numbers, we deduce product formulae for E (α) (x) and define the inverse matrix of E . We establish some explicit expressions for the Euler polynomial matrix E (x), which involves the generalized Pascal, Fibonacci and Lucas matrices, respectively. From these formulae, we get some new interesting identities involving Fibonacci and Lucas numbers. Also, we provide some factorizations of the Euler polynomial matrix in terms of Stirling matrices, as well as a connection between the shifted Euler matrices and Vandermonde matrices.spa
dc.language.isoeng
dc.publisherApplied Mathematics and Information Sciencesspa
dc.rightsCC0 1.0 Universalspa
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/spa
dc.subjectEuler polynomialsspa
dc.subjectEuler matrixspa
dc.subjectGeneralized Euler matrixspa
dc.subjectGeneralized Pascal matrixspa
dc.subjectFibonacci matrixspa
dc.subjectLucas matrixspa
dc.titleEuler matrices and their algebraic properties revisitedspa
dc.typeArtículo de revistaspa
dc.rights.accessrightsinfo:eu-repo/semantics/openAccessspa
dc.identifier.doihttp://dx.doi.org/10.18576/amisspa
dc.identifier.instnameCorporación Universidad de la Costaspa
dc.identifier.reponameREDICUC - Repositorio CUCspa
dc.identifier.repourlhttps://repositorio.cuc.edu.co/spa
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dc.type.versioninfo:eu-repo/semantics/acceptedVersionspa
dc.type.coarversionhttp://purl.org/coar/version/c_ab4af688f83e57aaspa
dc.rights.coarhttp://purl.org/coar/access_right/c_abf2spa


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