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Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi
Article . 2022 . Peer-reviewed
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Gaussian Bronze Lucas Numbers

descriptionPublicationkeyboard_double_arrow_right Article 30 Jun 2022Publisher:Bilecik Seyh Edebali Universitesi Fen Bilimleri DergisiJournal:Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, volume 9, pages 357-363 (eissn: 2458-7575, Copyright policy )
Authors: Nusret KARAASLAN;

doi: 10.35193/bseufbd.1038520

Gaussian Bronze Lucas Numbers

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.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Top 10%
Average
Average
gold