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Dergiler / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2026 / Volume: 42 Issue: 5

Some approximations and identities from special sequences for the vertices of suborbital graphs

İbrahim Gökcan(Faculty of Arts and Sciences, Artvin Çoruh University, Artvin, 08010, Türkiye)0000-0002-6933-8494
Ali Hikmet Değer(Department of Mathematics, Karadeniz Technical University, Trabzon, 61080, Türkiye)0000-0003-0764-715X
Ümmügülsün Çağlayan(Department of Mathematics, Karadeniz Technical University, Trabzon, 61080, Türkiye)0000-0002-5870-6802
Sayfa
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Yayın Tarihi
2024-10-04
DOI
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Then, we provide new identities and approximations regarding Fibonacci, Lucas, Pell, and Pell-Lucas numbers.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this study, we investigate the vertices arising from the action of a suborbital graph, in terms of continued fractions, matrix, and recurrence relations.
📊
Temel Bulgular & Veri:Using the approximation of Fibo-nacci sequence by the Binet formula, we demonstrate that the vertices of the suborbital graph are related to Lucas numbers.
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Sonuç & Katkı:Then, we provide new identities and approximations regarding Fibonacci, Lucas, Pell, and Pell-Lucas numbers.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Continued Fraction · Generalized Fibonacci Numbers · Modular Group

Abstract

In this study, we investigate the vertices arising from the action of a suborbital graph, in terms of continued fractions, matrix, and recurrence relations. Using the approximation of Fibo-nacci sequence by the Binet formula, we demonstrate that the vertices of the suborbital graph are related to Lucas numbers. Then, we provide new identities and approximations regarding Fibonacci, Lucas, Pell, and Pell-Lucas numbers.

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Bu Makaleye Atıf Yap

Gökcan, İ., Değer, A. H., Çağlayan, Ü. (2024). Some approximations and identities from special sequences for the vertices of suborbital graphs. Sigma Mühendislik ve Fen Bilimleri Dergisi, Volume: 42 Issue: 5. https://ajindex.com/articles/1344443

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