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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 74 Issue: 3

Hybrid numbers with balancing and Lucas balancing hybrid number coefficients

Murat Turan(OSMANIYE KORKUT ATA UNIVERSITY)0000-0001-9684-7924
Sıddıka Özkaldı Karakuş(BİLECİK ŞEYH EDEBALİ ÜNİVERSİTESİ)0000-0002-2699-4109
Pages
—
Publication Date
2025-09-23
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AI Summary & Key Takeaways

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

Afterwards, using Binet's like formula, we obtained some identities such as D'ocagne's identity, Honsberger identity, Catalan identity, and Cassini identity.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this note, we made a connection between hybrid numbers and hybrid balancing, and hybrid Lucas balancing number.
📊
Key Findings & Data:Initially, we obtained for these new number recurrence relation, some important relations among new numbers, and Binet's like formula.
💡
Conclusion & Impact:Afterwards, using Binet's like formula, we obtained some identities such as D'ocagne's identity, Honsberger identity, Catalan identity, and Cassini identity.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hybrid numbers · balancing numbers · Lucas numbers

Abstract

In this note, we made a connection between hybrid numbers and hybrid balancing, and hybrid Lucas balancing number. Initially, we obtained for these new number recurrence relation, some important relations among new numbers, and Binet's like formula. Afterwards, using Binet's like formula, we obtained some identities such as D'ocagne's identity, Honsberger identity, Catalan identity, and Cassini identity.

🔖

Cite This Article

Turan, M., Karakuş, S. Ö. (2025). Hybrid numbers with balancing and Lucas balancing hybrid number coefficients. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 74 Issue: 3. https://doi.org/10.31801/cfsuasmas.1561936

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