Journals / Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2018 / Cilt: 8 - Sayı: 1
On the k- Pell Quaternions and the k- Pell-Lucas Quaternions
- Pages
- 23–35
- DOI
- —
Abstract
The quaternions form a four-dimensional associative and non-commutative algebra over the set ofreal numbers. In this paper, firstly, we give some relations for k - Pell quaternions and k - Pell-Lucas quaternions.Then, by using Binet’s formula, we obtain their sums formulas, their the identities such as Cassini’s identity andgenerating function, also derive relationships between these quaternions.
Özet
Kuaterniyonlar, reel sayılar kümesinde dört boyutlu birleşmeli ve değişmeli olmayan bir cebir oluştururlar.