A Generalization of Fibonacci and Lucas Quaternions

被引：19
|
作者：
Polatli, Emrah [1 ]
机构：
[1] Bulent Ecevit Univ, Fac Sci & Arts, Dept Math, TR-67100 Zonguldak, Turkey
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2016年 / 26卷 / 02期
关键词：
Generalized Fibonacci quaternions; Generalized Lucas quaternions; Extended Binet formulas; IDENTITIES;
D O I：
10.1007/s00006-015-0626-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give a generalization of the Fibonacci and Lucas quaternions. We obtain the Binet formulas, generating functions, and some certain identities for these quaternions which include generalizations of some results of Halici.
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页码：719 / 730
页数：12
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