| dc.contributor.author | Tan, Elif | |
| dc.contributor.author | Yilmaz, Semih | |
| dc.contributor.author | Sahina, Murat | |
| dc.date.accessioned | 2020-06-25T18:22:31Z | |
| dc.date.available | 2020-06-25T18:22:31Z | |
| dc.date.issued | 2016 | |
| dc.identifier.citation | closedAccess | en_US |
| dc.identifier.issn | 0960-0779 | |
| dc.identifier.issn | 1873-2887 | |
| dc.identifier.uri | https://doi.org/10.1016/j.chaos.2015.10.021 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12587/6780 | |
| dc.description | WOS: 000368227600001 | en_US |
| dc.description.abstract | In this paper, we present a new generalization of the Fibonacci quaternions that are emerged as a generalization of the best known quaternions in the literature, such as classical Fibonacci quaternions, Pell quaternions, k-Fibonacci quaternions. We give the generating function and the Binet formula for these quaternions. By using the Billet formula, we obtain some well-known results. Also, we correct some results in [3] and [4] which have been overlooked that the quaternion multiplication is non commutative. (C) 2015 Elsevier Ltd. All rights reserved. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Pergamon-Elsevier Science Ltd | en_US |
| dc.relation.isversionof | 10.1016/j.chaos.2015.10.021 | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fibonacci sequence | en_US |
| dc.subject | Generalized Fibonacci sequence | en_US |
| dc.subject | Recurrence relations | en_US |
| dc.subject | Quaternions | en_US |
| dc.title | On a new generalization of Fibonacci quaternions | en_US |
| dc.type | article | en_US |
| dc.contributor.department | Kırıkkale Üniversitesi | en_US |
| dc.identifier.volume | 82 | en_US |
| dc.identifier.startpage | 1 | en_US |
| dc.identifier.endpage | 4 | en_US |
| dc.relation.journal | Chaos Solitons & Fractals | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
