- Turkish Journal of Mathematics and Computer Science
- Vol: 13 Issue: 2
- On Pell and Pell-Lucas Generalized Octonions
On Pell and Pell-Lucas Generalized Octonions
Authors : Ümit TOKEŞER, Tuğba MERT, Zafer ÜNAL, Göksal BİLGİCİ
Pages : 226-233
Doi:10.47000/tjmcs.780474
View : 13 | Download : 2
Publication Date : 2021-12-31
Article Type : Research
Abstract :In this study, we gave a generalization on Pell and Pell-Lucas octonions over the algebra $\mathbb{O}(a,b,c)$ where $a,b$ and $c$ are real numbers. For these number sequences, we obtain Binet formulas and gave some well-known identities such as Catalan's identity, Cassini's identity and d'Ocagne's identity.Keywords : Generalized octonion, Pell octonion, Pell-Lucas octonion