Gauss Bronz Lucas Sayıları

Yıl 2022, Cilt: 9 Sayı: 1, 357 - 363, 30.06.2022

Nusret Karaaslan

https://doi.org/10.35193/bseufbd.1038520

Cited By: 2

Öz

Bu çalışmanın amacı Gauss Bronz Lucas sayı dizisini tanıtmak ve incelemektir. İlk olarak Bronz Lucas sayılarını genişleterek Gauss Bronz Lucas sayılarını tanımladık. Daha sonra bu sayı dizisi için Binet formülü ve üreteç fonksiyonunu bulduk. Ayrıca Gauss Bronz Lucas sayıları ile ilgili bazı toplam formülleri ve matrisleri araştırdık. Son olarak, bu dizinin Binet formülünü dikkate alarak Catalan, Cassini ve d’Ocagne özdeşlikleri gibi bilinen eşitlikleri elde ettik.

Anahtar Kelimeler

Bronz Lucas Sayıları, Gauss Bronz Lucas Sayıları, Üreteç Fonksiyonu, Binet Formülü

Gaussian Bronze Lucas Numbers

Öz

The present work aims to introduce and study the Gaussian Bronze Lucas number sequence. Firstly, we define Gaussian Bronze Lucas numbers by extending the Bronze Lucas numbers. Then, we find the Binet formula and generating function for this number sequence. We also investigate some sum formulas and matrices related to the Gaussian Bronze Lucas numbers. Finally, we obtain some known equalities like Catalan, Cassini and d’Ocagne identities by considering the Binet formula of this sequence.

Anahtar Kelimeler

Bronze Lucas Numbers, Gaussian Bronze Lucas Numbers, Generating Function, Binet Formula

Kaynakça

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