Binomial Transforms of k-Narayana Sequences and Some Properties

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dc.contributor.authorKaplan, Faruk
dc.contributor.authorÖztürk, Arzu Özkoç
dc.date.accessioned2025-03-24T19:48:24Z
dc.date.available2025-03-24T19:48:24Z
dc.date.issued2024
dc.departmentDüzce Üniversitesi
dc.description.abstractThe aim of the study is to obtain new binomial transforms for the $k-$ Narayana sequence. The first of these is the binomial transform, which is its normal form, and in the first step, after finding the recurrence relation of this new binomial transform, the generating function and Binet formula were obtained. Finally, Pascal's triangle was calculated. In the rest of the article, $k-$binomial transform was performed for the $k-$ Narayana sequence and the recurrence relation, generating function, Binet formula and Pascal's triangle were examined for the new sequence obtained. Then, by performing the falling binomial transform and the rising binomial transform, the features listed above were found again for these sequences.
dc.identifier.doi10.33401/fujma.1468536
dc.identifier.endpage146
dc.identifier.issn2645-8845
dc.identifier.issue3
dc.identifier.startpage137
dc.identifier.urihttps://doi.org/10.33401/fujma.1468536
dc.identifier.urihttps://hdl.handle.net/20.500.12684/18926
dc.identifier.volume7
dc.language.isoen
dc.publisherFuat USTA
dc.relation.ispartofFundamental Journal of Mathematics and Applications
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_DergiPark_20250324
dc.subjectNarayana Sequences|Binomial transform|Recurrence relations|Binet formulas
dc.titleBinomial Transforms of k-Narayana Sequences and Some Properties
dc.typeArticle

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