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

Year 2021, Volume: 11 Issue: 2, 263 - 275, 31.12.2021

Faik Babadağ , Merve Uslu

https://doi.org/10.37094/adyujsci.852037

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. 

Keywords

Tessarines, Fibonacci Numbers, Fibonacci Tessarine Vector

Fibonacci ve Lucas Sayı Bileşenleri ile Fibonacci Tessarinelere Yeni Bir Yaklaşım

Abstract

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.

Keywords

Tessarineler; Fibonacci sayıları; Fibonacci tessarine vektör.

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