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Journals / Turkish Journal of Mathematics / 2020 / Cilt: 44 - Sayı: 5

Some higher-order identities for generalized bi-periodic Horadam sequences

Ho-Hon LEUNG
Elif TAN
Pages
1687–1700
Publication Date
2022-11-01
DOI
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AI Summary & Key Takeaways

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

As an application, we derive some congruence properties satisfied by the generalized bi-periodic Horadam sequences.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we derive higher-order identities for the generalized bi-periodic Horadam sequences.
📊
Key Findings & Data:Some of our results generalize the identities for the classical Fibonacci sequences and Horadam sequences obtained by Hoggatt, Horadam and Waddill.
💡
Conclusion & Impact:As an application, we derive some congruence properties satisfied by the generalized bi-periodic Horadam sequences.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we derive higher-order identities for the generalized bi-periodic Horadam sequences. Some of our results generalize the identities for the classical Fibonacci sequences and Horadam sequences obtained by Hoggatt, Horadam and Waddill. As an application, we derive some congruence properties satisfied by the generalized bi-periodic Horadam sequences.

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Cite This Article

LEUNG, H., TAN, E. (2022). Some higher-order identities for generalized bi-periodic Horadam sequences. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 5, 1687–1700. https://ajindex.com/articles/608783

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