k- Pell Kuaterniyonlar ve k- Pell-Lucas Kuaterniyonlar Üzerine

Kuaterniyonlar, reel sayılar kümesinde dört boyutlu birleşmeli ve değişmeli olmayan bir cebir oluştururlar.

Anahtar Kelimeler:

k - Pell sayıları, k - Pell-Lucas sayıları, kuaterniyonlar

On the k- Pell Quaternions and the k- Pell-Lucas Quaternions

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.

Keywords:

k - Pell numbers, k - Pell-Lucas numbers, quaternions,

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