Açık Akademik Arşiv Sistemi

A Study on Dual Hyperbolic Fibonacci and Lucas Numbers

A Study on Dual Hyperbolic Fibonacci and Lucas Numbers

Arzu Cihan; Azak, Ayşe Zeynep; Güngör, Mehmet Ali; Tosun, Murat
URI: https://doi.org/10.2478/auom-2019-0002
https://hdl.handle.net/20.500.12619/44172
Date: 2019

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.

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