Remarks on the Vietoris sequence and corresponding convolution formulas

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dc.contributor.authorCação, Isabelpor
dc.contributor.authorFalcão, M. I.por
dc.contributor.authorMalonek, Helmuth R.por
dc.contributor.authorMiranda, Fernandopor
dc.contributor.authorTomaz, Graçapor
dc.date.accessioned2023-09-05T13:53:22Z
dc.date.available2023-09-05T13:53:22Z
dc.date.issued2023-06
dc.date.updated2023-08-29T20:27:04Z
dc.description.abstractIn this paper we consider the so-called Vietoris sequence, a sequence of rational numbers of the form ck=12k(k⌊k2⌋), k= 0, 1, ⋯. This sequence plays an important role in many applications and has received a lot of attention over the years. In this work we present the main properties of the Vietoris sequence, having in mind its role in the context of hypercomplex function theory. Properties and patterns of the convolution triangles associated with (ck)k are also presented.por
dc.description.sponsorshipResearch at CMAT was partially financed by Portuguese funds through FCT - Funda¸c˜ao para a Ciˆencia e a Tecnologia, within the Projects UIDB/00013/2020 and UIDP/00013/2020. Research at CIDMA has been financed by FCT, within the Projects UIDB/04106/2020 and UIDP/04106/2020.por
dc.distributioninternationalpor
dc.identifier.doi10.1007/978-3-031-37105-9_45por
dc.identifier.eisbn978-3-031-37105-9por
dc.identifier.isbn978-3-031-37104-2por
dc.identifier.issn0302-9743
dc.identifier.urihttps://hdl.handle.net/1822/86299
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherSpringerpor
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00013%2F2020/PTpor
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00013%2F2020/PTpor
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04106%2F2020/PTpor
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F04106%2F2020/PTpor
dc.relation.publisherversionhttps://doi.org/10.1007/978-3-031-37105-9_45por
dc.rightsopenAccesspor
dc.subjectCentral binomial coefficientspor
dc.subjectClifford algebrapor
dc.subjectConvolution trianglespor
dc.subjectSequencespor
dc.subject.fosCiências Naturais::Matemáticaspor
dc.titleRemarks on the Vietoris sequence and corresponding convolution formulaspor
dc.typeconferencePaperpor
dspace.entity.typePublicationen
oaire.citationConferenceDate3 - 6 Jul. 2023por
oaire.citationEndPage692por
oaire.citationStartPage677por
oaire.citationVolume14104 LNCS
sdum.conferencePublicationLecture Notes in Computer Sciencepor
sdum.event.titleThe 23rd International Conference on Computational Science and Its Applications, ICCSA 2023por
sdum.event.typeconferencepor
sdum.export.identifier12710
sdum.journalLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

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