About this article
Published Online: Mar 02, 2019
Page range: 35 - 48
Received: Jan 10, 2018
Accepted: Mar 30, 2018
DOI: https://doi.org/10.2478/auom-2019-0002
Keywords
© 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.