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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 15 Issue: 1

Padovan, Perrin and Pell-Padovan Dual Quaternions

Zehra İşbilir(DÜZCE ÜNİVERSİTESİ)0000-0001-5414-5887
Nurten Gürses(YILDIZ TEKNİK ÜNİVERSİTESİ)0000-0001-8407-854X
Pages
—
Publication Date
2023-06-30
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AI Summary & Key Takeaways

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

In line with this purpose, we construct some new properties such as; special determinant equalities, new recurrence relations, matrix formulas, Binet-like formulas, generating functions, exponential generating functions, summation formulas, and binomial properties for these special dual quaternions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this present study, we intend to determine the Padovan, Perrin and Pell-Padovan dual quaternions with nonnegative and negative subscripts.
📊
Key Findings & Data:In this present study, we intend to determine the Padovan, Perrin and Pell-Padovan dual quaternions with nonnegative and negative subscripts.
💡
Conclusion & Impact:In line with this purpose, we construct some new properties such as; special determinant equalities, new recurrence relations, matrix formulas, Binet-like formulas, generating functions, exponential generating functions, summation formulas, and binomial properties for these special dual quaternions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Padovan numbers · Perrin numbers · Pell-Padovan numbers

Abstract

In this present study, we intend to determine the Padovan, Perrin and Pell-Padovan dual quaternions with nonnegative and negative subscripts. In line with this purpose, we construct some new properties such as; special determinant equalities, new recurrence relations, matrix formulas, Binet-like formulas, generating functions, exponential generating functions, summation formulas, and binomial properties for these special dual quaternions.

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Cite This Article

İşbilir, Z., Gürses, N. (2023). Padovan, Perrin and Pell-Padovan Dual Quaternions. Turkish Journal of Mathematics and Computer Science, Volume: 15 Issue: 1. https://doi.org/10.47000/tjmcs.999069

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