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The q-Fibonacci Hyperbolic Functions |
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PP: 81-88 |
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Author(s) |
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Ayse Nur Guncan,
Yesim Erbil,
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Abstract |
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| In 2005 Stakhov and Rozin introduced a new class of hyperbolic functions which is called Fibonacci hyperbolic functions.
In this paper, we study q-analogue of Fibonacci hyperbolic functions. These functions can be regarded as q extensions of classical
hyperbolic functions. We introduce the q-analogue of classical Golden ratio as follow fq =
1+√1+4qn−2
2 , n ≥ 2. Making use of this
q-analogue of the Golden ratio, we defined sinFqh(x) and cosFqh(x) functions, and also investigated some properties and gave some
relationships between these functions. |
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