Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/7554
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dc.contributor.authorKılıç, Emrah-
dc.date.accessioned2021-09-11T15:57:48Z-
dc.date.available2021-09-11T15:57:48Z-
dc.date.issued2008en_US
dc.identifier.issn0253-4142-
dc.identifier.issn0973-7685-
dc.identifier.urihttps://doi.org/10.1007/s12044-008-0003-y-
dc.identifier.urihttps://hdl.handle.net/20.500.11851/7554-
dc.description.abstractIn this paper, we consider generalized Fibonacci type second order linear recurrence {u(n)}. We derive a generating matrix for both the sums of squares, Sigma(n)(i=0) u(i)(2) and the products of the form u(n)u(n+2). We also derive explicit formulas for the sums and products by using matrix methods. Then we give a matrix method to generate the sums of product of two consecutive terms u(n)u(n+1) as well as the product, u(n)u(n+2). Further we give generating functions and combinatorial representations of the sums of squares of terms of {u(n)} and the product, u(n)u(n+2).en_US
dc.language.isoenen_US
dc.publisherIndian Acad Sciencesen_US
dc.relation.ispartofProceedings of The Indian Academy of Sciences-Mathematical Sciencesen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectsecond order recurrenceen_US
dc.subjectsums of squaresen_US
dc.subjectgenerating functionen_US
dc.subjectmatrix methoden_US
dc.titleSums of the Squares of Terms of Sequence {u(n)}en_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.volume118en_US
dc.identifier.issue1en_US
dc.identifier.startpage27en_US
dc.identifier.endpage41en_US
dc.authorid0000-0003-0722-7382-
dc.identifier.wosWOS:000253907600003en_US
dc.identifier.scopus2-s2.0-41149159894en_US
dc.institutionauthorKılıç, Emrah-
dc.identifier.doi10.1007/s12044-008-0003-y-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ3-
item.openairetypeArticle-
item.languageiso639-1en-
item.grantfulltextnone-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
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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