Binomial Transforms for Hybrid Numbers Defined Through Fibonacci and Lucas Number Components
| dc.contributor.author | Özkoç, Arzu | |
| dc.date.accessioned | 2025-03-24T19:50:09Z | |
| dc.date.available | 2025-03-24T19:50:09Z | |
| dc.date.issued | 2022 | |
| dc.department | Düzce Üniversitesi | |
| dc.description.abstract | The main purpose of covering this article has been to examine the hybrid numbers defined through Fibonacci and Lucas number components $\{\hat{H}% _{U,n}\}$ and $\{\hat{H}_{V,n}\}$~and their binomial transforms $\{b\hat{H}% _{U,n}\}$ and $\{b\hat{H}_{V,n}\},$ respectively. Firstly, general sum formulas, binomial identities, which are not in the literature yet, about hybrid numbers $\{\hat{H}_{U,n}\}$ and $\{\hat{H}_{V,n}\}$ are discussed. Then, the recurrence relation is obtained for $\{b\hat{H}_{U,n}\}$ and $\{b% \hat{H}_{V,n}\}$ and some results have been found for the new sequence. | |
| dc.identifier.endpage | 292 | |
| dc.identifier.issn | 2147-625X | |
| dc.identifier.issue | 2 | |
| dc.identifier.startpage | 282 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12684/19566 | |
| dc.identifier.volume | 10 | |
| dc.language.iso | en | |
| dc.publisher | Mehmet Zeki SARIKAYA | |
| dc.relation.ispartof | Konuralp Journal of Mathematics | |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_DergiPark_20250324 | |
| dc.subject | Binomial transform|hybrid numbers|Lucas sequences of ?rst and second kind. | |
| dc.title | Binomial Transforms for Hybrid Numbers Defined Through Fibonacci and Lucas Number Components | |
| dc.type | Article |
