A Generalization of Fibonacci and Lucas Quaternions

被引：20

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.

引用

页码：719 / 730

页数：12

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