On Dual k-Pell Quaternions and Octonions

被引：0
|
作者：
Catarino, Paula [1 ]
Vasco, Paulo [1 ]
机构：
[1] Univ Tras Os Montes & Alto Douro UTAD, Dept Math, P-5001801 Vila Real, Portugal
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2017年 / 14卷 / 02期
关键词：
k-Pell sequence; dual number; quaternions; octonions; NUMBERS;
D O I：
10.1007/s00009-017-0848-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, we define the dual k-Pell, the dual k-Pell-Lucas, and the dual modified k-Pell quaternions and octonions. We investigate some fundamental algebraic properties of these quaternions and octonions. In addition we give Binet's formulae and generating functions.
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页数：13
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