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On Hybrid numbers with Gaussian Mersenne Coefficients

descriptionPublicationkeyboard_double_arrow_right Article 31 Mar 2023Publisher:Erzincan Universitesi Fen Bilimleri Ensitusu DergisiJournal:Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, volume 16, pages 212-223 (eissn: 2149-4584, Copyright policy )
Authors: Serhat YILDIRIM; Fatih YILMAZ;

doi: 10.18185/erzifbed.1162515

On Hybrid numbers with Gaussian Mersenne Coefficients

Abstract

In this paper, we consider hybrid numbers with Gaussian Mersenne coefficients and investigate their interesting properties such as the Binet formula, Cassini, Catalan, Vajda, D’Ocagne and Honsberger identities. Moreover, we illustrate the results with some examples.

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Keywords

Hybrid Gaussian Mersenne;Generating function;Binet formula;Cassini identity;Catalan identity;Vajda identity;D’Ocagne identity;Honsberger identity, Engineering, Mühendislik

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citations
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!
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