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Pell Leonardo Numbers and Their Matrix Representations

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dc.contributor.authorÇelemoğlu, Çağla
dc.date.accessioned2025-12-11T01:47:13Z
dc.date.issued2024
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-tempOndokuz Mayıs Üniversitesien_US
dc.description.abstractIn this study, we investigate Pell numbers and Leonardo numbers and describe a new third-order number sequence entitled Pell Leonardo numbers. We then construct some identities, including the Binet formula, generating function, exponential generating function, Catalan, Cassini, and d’Ocagne’s identities for Pell Leonardo numbers and obtain a relation between Pell Leonardo and Pell numbers. In addition, we present some summation formulas of Pell Leonardo numbers based on Pell numbers. Finally, we create a matrix formula for Pell Leonardo numbers and obtain the determinant of the matrix.en_US
dc.identifier.doi10.54187/jnrs.1506171
dc.identifier.endpage108en_US
dc.identifier.issn1304-7981
dc.identifier.issue2en_US
dc.identifier.startpage101en_US
dc.identifier.trdizinid1260189
dc.identifier.urihttps://doi.org/10.54187/jnrs.1506171
dc.identifier.urihttps://search.trdizin.gov.tr/en/yayin/detay/1260189/pell-leonardo-numbers-and-their-matrix-representations
dc.identifier.urihttps://hdl.handle.net/20.500.12712/46215
dc.identifier.volume13en_US
dc.institutionauthorÇelemoğlu, Çağla
dc.language.isoenen_US
dc.relation.ispartofJournal of New Results in Scienceen_US
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.titlePell Leonardo Numbers and Their Matrix Representationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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