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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Article . 2019 . Peer-reviewed
License: CC BY NC ND
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Article . 2019
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A Study on Dual Hyperbolic Fibonacci and Lucas Numbers

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Mar 2019 English Publisher:Walter de Gruyter GmbHJournal:Analele Universitatii "Ovidius" Constanta - Seria Matematica, volume 27, pages 35-48 (eissn: 1844-0835, Copyright policy )
Authors: Arzu Cihan; Azak, Ayşe Zeynep; Güngör, Mehmet Ali; Tosun, Murat;

doi: 10.2478/auom-2019-0002

handle: 20.500.12619/44172 , 20.500.12619/6113

A Study on Dual Hyperbolic Fibonacci and Lucas Numbers

Abstract

Abstract In this study, the dual-hyperbolic Fibonacci and dual-hyperbolic Lucas numbers are introduced. Then, the fundamental identities are proven for these numbers. Additionally, we give the identities regarding negadual-hyperbolic Fibonacci and negadual-hyperbolic Lucas numbers. Finally, Binet formulas, D’Ocagne, Catalan and Cassini identities are obtained for dual-hyperbolic Fibonacci and dual-hyperbolic Lucas numbers.

Related Organizations
Keywords

dual-hyperbolic numbers, dual-hyperbolic fibonacci numbers, QA1-939, dual-hyperbolic lucas numbers, primary 11b39, secondary 11b83, Mathematics

  • BIP!
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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).
    		 9
    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.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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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!
9
Top 10%
Top 10%
Top 10%
Published in a Diamond OA journal