<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

A Study on Dual Hyperbolic Fibonacci and Lucas Numbers

Department of Mathematics and Science Education

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"A Study on Dual Hyperbolic Fibonacci and Lucas Numbers"}

In this study, the dual-hyperbolic Fibonacci and dual-hyperbolic Lucas numbers are introduced. Then, the fundamental identities are proven for these numbers....

A Study on Dual Hyperbolic Fibonacci and Lucas Numbers

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
Dual-Hyperbolic Numbers, Dual-Hyperbolic Fibonacci Numbers, Dual-Hyperbolic Lucas Numbers

© 2019 Arzu Cihan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

A Study on Dual Hyperbolic Fibonacci and Lucas Numbers

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

KeywordsDual-Hyperbolic Numbers, Dual-Hyperbolic Fibonacci Numbers, Dual-Hyperbolic Lucas Numbers

© 2019 Arzu Cihan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Dual-Hyperbolic Numbers, Dual-Hyperbolic Fibonacci Numbers, Dual-Hyperbolic Lucas Numbers