On Stakhov Functions and New Hyperboloid Surfaces
Yazarlar (1)
Doç. Dr. Ahmet DAŞDEMİR Kastamonu Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(Diğer hakemli uluslarası dergilerde yayınlanan tam makale)
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| Dergi Adı | Proceedings of International Mathematical Sciences | ||
| Dergi ISSN | 2717-6355 | ||
| Dergi Tarandığı Indeksler | Google Scholar, Asos Index | ||
| Makale Dili | Türkçe | Basım Tarihi | 06-2025 |
| Cilt / Sayı / Sayfa | 7 / 1 / 16–27 | DOI | 10.47086/pims.1653932 |
| Makale Linki | https://doi.org/10.47086/pims.1653932 | ||
| UAK Araştırma Alanları |
Cebir ve Sayılar Teorisi
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| Özet |
| 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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