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Journals / Proceedings of International Mathematical Sciences / 2026 / Volume: 7 Issue: 1

On Stakhov Functions and New Hyperboloid Surfaces

Ahmet Daşdemir(kastamonu üniversitesi)0000-0001-8352-2020
Pages
—
Publication Date
2025-06-30
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AI Summary & Key Takeaways

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

Notably, we demonstrate that these surfaces are geodesic.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper presents an investigation into the generalization of hyperbolic Fibonacci sine and cosine functions, as well as Fibonacci spirals.
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Key Findings & Data:Initially, we establish the main definitions and theoretically model them, listing several special cases.
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Conclusion & Impact:Notably, we demonstrate that these surfaces are geodesic.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Hyperbolic Fibonacci function · Hyperbolic Stakhov function · Stakhov hyperboloid

Abstract

This paper presents an investigation into the generalization of hyperbolic Fibonacci sine and cosine functions, as well as Fibonacci spirals. Initially, we establish the main definitions and theoretically model them, listing several special cases. We then uncover fundamental results, including the De Moivre and Pythagorean formulas. Based on these new definitions, we introduce new classes of three-dimensional hyperboloid surfaces and compute their Gauss and mean curvatures. Notably, we demonstrate that these surfaces are geodesic.

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Cite This Article

Daşdemir, A. (2025). On Stakhov Functions and New Hyperboloid Surfaces. Proceedings of International Mathematical Sciences, Volume: 7 Issue: 1. https://doi.org/10.47086/pims.1653932

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References (11)

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