New results on negative-indexed pell numbers via matrix methods

dc.authorid0000-0002-6933-8494
dc.authorid0000-0003-0764-715X
dc.authorid0000-0002-5870-6802
dc.contributor.authorGökcan, İbrahim
dc.contributor.authorÇağlayan, Ümmügülsüm
dc.contributor.authorDeğer, Ali Hikmet
dc.date.accessioned2026-07-17T12:09:00Z
dc.date.available2026-07-17T12:09:00Z
dc.date.issued2025
dc.departmentAÇÜ
dc.description.abstractIn this study, we investigate the Pell and Pell–Lucas numbers sequences and construct matrices whose elements are defined using negative indices of these sequences through Binet’s formula. Identities involving negative- indexed Pell and Pell–Lucas numbers are derived using the determinants and traces of these matrices. Furthermore, we examine various powers of the constructed matrices and discuss related elementary matrix operations.
dc.identifier.doi10.17776/csj.1674240
dc.identifier.endpage910
dc.identifier.issue4
dc.identifier.startpage902
dc.identifier.urihttps://hdl.handle.net/11494/6354
dc.identifier.volume46
dc.indekslendigikaynakTR-Dizin
dc.institutionauthorGökcan, İbrahim
dc.institutionauthorid0000-0002-6933-8494
dc.language.isoen
dc.publisherSİVAS CUMHURİYET ÜNİVERSİTESİ
dc.relation.ispartofCumhuriyet Science Journal
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - İdari Personel
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectPell numbers
dc.subjectPell-Lucas numbers
dc.subjectMatrix theory
dc.titleNew results on negative-indexed pell numbers via matrix methods
dc.typeArticle

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