The q-Fibonacci Hyperbolic Functions

被引：0
|
作者：
Guncan, A. [1 ]
Erbil, Y. [1 ]
机构：
[1] Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkey
来源：
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B | 2012年 / 1479卷
关键词：
Fibonacci numbers; Fibonacci hyperbolic functions; q-calculus; q-analogue;
D O I：
10.1063/1.4756299
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 phi(q) = 1+root 1+4q(n-2)/2 n >= 2. Making use of this q-analogue of the Golden ratio, we defined sinF(q)h(x) and cosF(q)h(x) functions. We investigated some properties and gave some relationships between these functions.
引用
收藏
页码：946 / 949
页数：4
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