Gaussian Bronze Lucas Numbers

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Copy For Citation

KARAASLAN N.

Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, vol.9, no.1, pp.357-363, 2022 (Peer-Reviewed Journal)

• Publication Type: Article / Article
• Volume: 9 Issue: 1
• Publication Date: 2022
• Doi Number: 10.35193/bseufbd.1038520
• Journal Name: Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi
• Page Numbers: pp.357-363
• Bilecik Şeyh Edebali University Affiliated: No

Abstract

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.