On recursive hyperbolic functions in Fibonacci-Lucas sense

Authors : Ahmet DAŞDEMİR, Tuncay Deniz ŞENTÜRK, Zafer ÜNAL

Pages : 2046-2062

Doi:10.15672/hujms.536435

View : 17 | Download : 5

Publication Date : 2020-12-08

Article Type : Research Paper

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 $ \leftinsert ignore into journalissuearticles values( HSF \right); $ and Horadam hyperbolic cosine function $ \leftinsert ignore into journalissuearticles values( 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, Vajdas identity