On hyperbolic Lucas quaternions
Yazarlar (1)
Doç. Dr. Ahmet DAŞDEMİR Kastamonu Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Ars Combinatoria | ||
| Dergi ISSN | 0381-7032 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 02-2020 |
| Cilt / Sayı / Sayfa | 150 / 1 / 77–84 | DOI | – |
| Özet |
| Kastamonu University, Kuzeykent Campus, 37100, Kastamonu, Turkey Abstract: Many quaternions such as Fibonacci, Lucas, Pell and Jacobsthal quaternions have been investigated in different forms before. Moreover, their fundamental identities have been presented. In this paper, we introduce new classes of quaternions associated with the symmetrical hyperbolic Lucas functions. In addition, we present the Binet’s formulas, certain generating matrix representations and generating functions of these quaternions. In particular, we derive Cassini’s formulas and d’Ocagne’s identities. |
| Anahtar Kelimeler |
| Binet's formula | Cassini's identity | Generating matrices | Hyperbolic lucas functions | Quaternions |