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Journals / Konuralp Journal of Mathematics / 2025 / Volume: 13 Issue: 2

q-Leonardo Hyper Dual Numbers

Murat Turan(BILECIK SEYH EDEBALI UNIVERSITY)0000-0001-9684-7924
Sıddıka Özkaldı Karakuş(BİLECİK ŞEYH EDEBALİ ÜNİVERSİTESİ)
Pages
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Publication Date
2025-10-31
DOI
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AI Summary & Key Takeaways

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

Some algebraic properties of these numbers such as recurrence relation, generating function, Honsberger identity, Catalan's identity, Cassini's identity,the Binet's formula and sum formulas will also be obtained.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present paper, the hyper-Dual Leonardo numbers will be introduced with the use of q-integer.
📊
Key Findings & Data:In the present paper, the hyper-Dual Leonardo numbers will be introduced with the use of q-integer.
💡
Conclusion & Impact:Some algebraic properties of these numbers such as recurrence relation, generating function, Honsberger identity, Catalan's identity, Cassini's identity,the Binet's formula and sum formulas will also be obtained.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Leonardo numbers · Hyper-Dual number · q-integer

Abstract

In the present paper, the hyper-Dual Leonardo numbers will be introduced with the use of q-integer. Some algebraic properties of these numbers such as recurrence relation, generating function, Honsberger identity, Catalan's identity, Cassini's identity,the Binet's formula and sum formulas will also be obtained.

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Cite This Article

Turan, M., Karakuş, S. Ö. (2025). q-Leonardo Hyper Dual Numbers. Konuralp Journal of Mathematics, Volume: 13 Issue: 2. https://ajindex.com/articles/1521473

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