- Hacettepe Journal of Mathematics and Statistics
- Vol: 49 Issue: 6
- On recursive hyperbolic functions in Fibonacci-Lucas sense
On recursive hyperbolic functions in Fibonacci-Lucas sense
Authors : Ahmet Daşdemir, Tuncay Deniz Şentürk, Zafer Ünal
Pages : 2046-2062
Doi:10.15672/hujms.536435
View : 19 | Download : 7
Publication Date : 2020-12-08
Article Type : Research
Abstract :The hyperbolic Fibonacci and hyperbolic Lucas functions have been introduced before and have been improved to functions of the symmetrical form. In this paper, we generalize the mentioned definitions, which will be called Horadam hyperbolic sine function $ \left( HSF \right) $ and Horadam hyperbolic cosine function $ \left( HCF \right) $. Further, we present many identities and hyperbolic properties of our new definitions.Keywords : Horadam hyperbolic function, Horadam spiral, quasi-sine Horadam function, Honsberger formula, Vajda’s identity