A Study on Dual Hyperbolic Fibonacci and Lucas Numbers
, , und | 02. März 2019
Über diesen Artikel
Online veröffentlicht: 02. März 2019
Seitenbereich: 35 - 48
Eingereicht: 10. Jan. 2018
Akzeptiert: 30. März 2018
DOI: https://doi.org/10.2478/auom-2019-0002
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© 2019 Arzu Cihan et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
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.