Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/1710
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dc.contributor.authorKılıç, Emrah-
dc.contributor.authorProdinger, Helmut-
dc.date.accessioned2019-07-04T14:19:44Z
dc.date.available2019-07-04T14:19:44Z
dc.date.issued2014-10
dc.identifier.citationKiliç, E., & Prodinger, H. (2014). The generalized q-Pilbert matrix. Mathematica Slovaca, 64(5), 1083-1092.en_US
dc.identifier.issn0139-9918
dc.identifier.urihttps://doi.org/10.2478/s12175-014-0260-4-
dc.identifier.urihttps://hdl.handle.net/20.500.11851/1710-
dc.description.abstractA generalized q-Pilbert matrix from[KILIC, E.-PRODINGER, H.: The q-Pilbert matrix, Int. J. Comput. Math. 89 (2012), 1370-1377] is further generalized, introducing one additional parameter. Explicit formul' are derived for the LU-decomposition and their inverses, as well as the Cholesky decomposition. The approach is to use q-analysis and to leave the justification of the necessary identities to the q-version of Zeilberger's celebrated algorithm. However, the necessary identities have appeared already in disguised form in the paper referred above, so that no new computations are necessary.en_US
dc.language.isoenen_US
dc.publisherDe Gruyter Open Ltden_US
dc.relation.ispartofMathematica Slovacaen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFilbert matrixen_US
dc.subjectPilbert matrixen_US
dc.subjectFibonacci numbersen_US
dc.subjectq-analoguesen_US
dc.subjectLU-decompositionen_US
dc.subjectCholesky decompositionen_US
dc.subjectZeilberger's algorithmen_US
dc.titleThe generalized q-Pilbert matrixen_US
dc.typeArticleen_US
dc.departmentFaculties, Faculty of Science and Literature, Department of Mathematicsen_US
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümütr_TR
dc.identifier.volume64
dc.identifier.issue5
dc.identifier.startpage1083
dc.identifier.endpage1092
dc.identifier.wosWOS:000345081000003en_US
dc.identifier.scopus2-s2.0-84919905053en_US
dc.institutionauthorKılıç, Emrah-
dc.identifier.doi10.2478/s12175-014-0260-4-
dc.identifier.doi10.2478/s12175-014-0260-4-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ3-
item.cerifentitytypePublications-
item.languageiso639-1en-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypeArticle-
item.fulltextWith Fulltext-
item.grantfulltextopen-
crisitem.author.dept07.03. Department of Mathematics-
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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