A note on hyperbolic (p,q)-Fibonacci quaternions
| dc.contributor.author | Yağmur, Tülay | |
| dc.date.accessioned | 2021-07-01T06:42:05Z | |
| dc.date.available | 2021-07-01T06:42:05Z | |
| dc.date.issued | 2020 | |
| dc.department | Sabire Yazıcı Fen Edebiyat Fakültesi | |
| dc.description.abstract | In this paper, we introduce a new quaternion sequence called hyperbolic (p, q)-Fibonacci quaternions. This new quaternion sequence includes hyperbolic Fibonacci, hyperbolic k-Fibonacci, hyperbolic Pell, hyperbolic k-Pell, hyperbolic Jacobsthal, hyperbolic k-Jacobsthal quaternions. We give generating function and Binet's formula for these quaternions. We also obtain some identities such as d'Ocagne's, Catalan's and Cassini's identities involving hyperbolic (p, q)-Fibonacci quaternions. | |
| dc.identifier.doi | 10.31801/cfsuasmas.582674 | |
| dc.identifier.endpage | 890 | en_US |
| dc.identifier.issn | 1303-5991 | |
| dc.identifier.issn | 2618-6470 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.startpage | 880 | en_US |
| dc.identifier.uri | https:/dx.doi.org/ 10.31801/cfsuasmas.582674 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12451/8236 | |
| dc.identifier.volume | 69 | en_US |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Web of Science | |
| dc.language.iso | en | |
| dc.publisher | Ankara Üniversitesi | |
| dc.relation.ispartof | Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Fibonacci Numbers | |
| dc.subject | (p, q)-Fibonacci Numbers | |
| dc.subject | (p, q)-Fibonacci Quaternions | |
| dc.subject | Hyperbolic Quaternions | |
| dc.subject | Hyperbolic (p, q)-Fibonacci Quaternions | |
| dc.title | A note on hyperbolic (p,q)-Fibonacci quaternions | |
| dc.type | Article |
