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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

Content
 

Volumes > Volume 08 > No. 1L

 
   

The q-Fibonacci Hyperbolic Functions

PP: 81-88
Author(s)
Ayse Nur Guncan, Yesim Erbil,
Abstract
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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