@article{article_536435, title={On recursive hyperbolic functions in Fibonacci-Lucas sense}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={49}, pages={2046–2062}, year={2020}, DOI={10.15672/hujms.536435}, author={Daşdemir, Ahmet and Şentürk, Tuncay Deniz and Ünal, Zafer}, keywords={Horadam hyperbolic function, Horadam spiral, quasi-sine Horadam function, Honsberger formula, Vajda’s identity}, 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.}, number={6}, publisher={Hacettepe University}