On recursive hyperbolic functions in Fibonacci-Lucas sense

Year 2020, Volume: 49 Issue: 6, 2046 - 2062, 08.12.2020

Ahmet Daşdemir Tuncay Deniz Şentürk Zafer Ünal

https://doi.org/10.15672/hujms.536435

Cited By: 1

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

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