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Journals / Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2018 / Cilt: 8 - Sayı: 1

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

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

Kübra GÜL
Pages
23–36
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Then, by using Binet’s formula, we obtain their sums formulas, their the identities such as Cassini’s identity and generating function, also derive relationships between these quaternions

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The quaternions form a four-dimensional associative and non-commutative algebra over the set of real numbers.
📊
Key Findings & Data:In this paper, firstly, we give some relations for k - Pell quaternions and k - Pell-Lucas quaternions.
💡
Conclusion & Impact:Then, by using Binet’s formula, we obtain their sums formulas, their the identities such as Cassini’s identity and generating function, also derive relationships between these quaternions
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The quaternions form a four-dimensional associative and non-commutative algebra over the set of real 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 and generating function, also derive relationships between these quaternions

Özet

Kuaterniyonlar, reel sayılar kümesinde dört boyutlu birleşmeli ve değişmeli olmayan bir cebir oluştururlar. Bu makalede ilk olarak, k - Pell kuaterniyonlar ve k - Pell-Lucas kuaterniyonların bazı bağıntılarını verdik. Daha sonra, Binet formülünü kullanarak toplam formüllerini, Cassini özdeşliği ve geren fonksiyonu gibi özdeşliklerini elde ettik, ayrıca bu kuaterniyonların arasındaki ilişkileri türettik

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Cite This Article

GÜL, K. (2022). k- Pell Kuaterniyonlar ve k- Pell-Lucas Kuaterniyonlar Üzerine. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 8 - Sayı: 1, 23–36. https://ajindex.com/articles/538555

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References (9)

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