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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 6

On recursive hyperbolic functions in Fibonacci-Lucas sense

Ahmet Daşdemir
Tuncay Deniz Şentürk
Zafer Ünal
Pages
2046–2062
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

Further, we present many identities and hyperbolic properties of our new definitions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The hyperbolic Fibonacci and hyperbolic Lucas functions have been introduced before and have been improved to functions of the symmetrical form.
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Key Findings & Data:In this paper, we generalize the mentioned definitions, which will be called Horadam hyperbolic sine function $ \left( HSF \right) $ and Horadam hyperbolic cosine function $ \left( HCF \right) $.
💡
Conclusion & Impact:Further, we present many identities and hyperbolic properties of our new definitions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Horadam hyperbolic function · Horadam spiral · quasi-sine Horadam function

Abstract

The hyperbolic Fibonacci and hyperbolic Lucas functions have been introduced before and have been improved to functions of the symmetrical form. In this paper, we generalize the mentioned definitions, which will be called Horadam hyperbolic sine function $ \left( HSF \right) $ and Horadam hyperbolic cosine function $ \left( HCF \right) $. Further, we present many identities and hyperbolic properties of our new definitions.

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Cite This Article

Daşdemir, A., Şentürk, T. D., Ünal, Z. (2022). On recursive hyperbolic functions in Fibonacci-Lucas sense. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 6, 2046–2062. https://ajindex.com/articles/529632

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