Publication: On recursive hyperbolic functions in fibonacci-lucas sense
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2020-01-01, 2020-08-01, 2020.01.01
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Metrikler
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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 (HSF) and Horadam hyperbolic cosine function (HCF). Further, we present many identities and hyperbolic properties of our new definitions.
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.
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.
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Keywords
Honsberger formula | Horadam hyperbolic function | Horadam spiral | Quasi-sine Horadam function | Vajda’s identity
Citation
Daşdemir, A., Şentürk, T., Ünal, Z. (2020). On recursive hyperbolic functions in Fibonacci-Lucas sense. Hacettepe Journal of Mathematics and Statistics, 49(6), 2046-2062