On Complex Fibonacci Quaternions

被引：68
|
作者：
Halici, Serpil [1 ]
机构：
[1] Sakarya Univ, Fac Arts & Sci, Dept Math, TR-54187 Sakarya, Turkey
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2013年 / 23卷 / 01期
关键词：
Recurrence Relations; Fibonacci Numbers; Quaternions;
D O I：
10.1007/s00006-012-0337-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Horadam defined the Fibonacci quaternions and established a few relations for the Fibonacci quaternions. In this paper, we investigate the complex Fibonacci quaternions and give the generating function and Binet formula for these quaternions. Moreover, we also give the matrix representations of them.
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页码：105 / 112
页数：8
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