| dc.contributor.author | Tan, Elif | |
| dc.contributor.author | Yilmaz, Semih | |
| dc.contributor.author | Sahin, Murat | |
| dc.date.accessioned | 2020-06-25T18:16:43Z | |
| dc.date.available | 2020-06-25T18:16:43Z | |
| 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.2016.01.025 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12587/6601 | |
| dc.description | WOS: 000371921500016 | en_US |
| dc.description.abstract | Motivated by the our recent work in Tan et al., 2016, related to the bi-periodic Fibonacci quaternions, here we introduce the bi-periodic Lucas quaternions that gives the Lucas quaternions as a special case. We give the generating function and the Binet formula for these quaternions. Also, we give the relationships between bi-periodic Fibonacci quaternions and bi-periodic Lucas quaternions. (C) 2016 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.2016.01.025 | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Lucas sequence | en_US |
| dc.subject | Generalized Lucas sequence | en_US |
| dc.subject | Recurrence relations | en_US |
| dc.subject | Quaternions | en_US |
| dc.title | A note on bi-periodic Fibonacci and Lucas quaternions | en_US |
| dc.type | article | en_US |
| dc.contributor.department | Kırıkkale Üniversitesi | en_US |
| dc.identifier.volume | 85 | en_US |
| dc.identifier.startpage | 138 | en_US |
| dc.identifier.endpage | 142 | en_US |
| dc.relation.journal | Chaos Solitons & Fractals | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
