| Yazarlar |
Doç. Dr. Ahmet DAŞDEMİR
Kastamonu Üniversitesi, Türkiye |
| Özet |
| Many quaternions such as Fibonacci, Lucas, Pell and Jacob-sthal 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 |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | ARS COMBINATORIA |
| Dergi ISSN | 0381-7032 |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Makale Dili | İngilizce |
| Basım Tarihi | 04-2020 |
| Cilt No | 150 |
| Sayı | 1 |
| Sayfalar | 77 / 84 |
