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Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2021 / Cilt: 11 - Sayı: 2

A New Approach to Fibonacci Tessarines with Fibonacci and Lucas Number Components

Fibonacci ve Lucas Sayı Bileşenleri ile Fibonacci Tessarinelere Yeni Bir Yaklaşım

Faik BABADAĞ
Merve USLU
Pages
263–275
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

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

We also give the identities of Fibonacci negatessarines and Lucas negatessarines and define new vector which are called Fibonacci tessarine vector.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, by using identities related to the tessarines, Fibonacci numbers and Lucas numbers we define Fibonacci tessarines and Lucas tessarines.
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Key Findings & Data:We obtain Binet formulae, D’ocagnes identity and Cassini identity for these tessarines.
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Conclusion & Impact:We also give the identities of Fibonacci negatessarines and Lucas negatessarines and define new vector which are called Fibonacci tessarine vector.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, by using identities related to the tessarines, Fibonacci numbers and Lucas numbers we define Fibonacci tessarines and Lucas tessarines. We obtain Binet formulae, D’ocagnes identity and Cassini identity for these tessarines. We also give the identities of Fibonacci negatessarines and Lucas negatessarines and define new vector which are called Fibonacci tessarine vector.

Özet

Bu makalede, tessarineler, Fibonacci ve Lucas sayılarıyla ilgili özdeşlikleri kullanarak Fibonacci tessarineler ve Lucas tessarineleri tanımladık. Bu tessarineler için Binet formüllerini, D’ocagnes özdeşliğini ve Cassini özdeşliğini elde ettik. Ayrıca, negatif Fibonacci tessarineler ve negatif Lucas tessarinelerin özdeşliklerini verdik ve Fibonacci tessarine vektörü olarak yeni bir vektör tanımladık.

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Cite This Article

BABADAĞ, F., USLU, M. (2022). A New Approach to Fibonacci Tessarines with Fibonacci and Lucas Number Components. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 11 - Sayı: 2, 263–275. https://ajindex.com/articles/428402

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