On hyperbolic k-Pell quaternions sequences

被引：1
|
作者：
Catarino, Paula [1 ]
机构：
[1] Univ Tras Os Montes & Alto Douro, UTAD, Dept Math, Quinta de Prados 5001-801, Vila Real, Portugal
来源：
ANNALES MATHEMATICAE ET INFORMATICAE | 2018年 / 49卷
关键词：
Quaternions; Hyperbolic functions; k-Pell sequence; Binet's identity; Generating functions;
D O I：
10.33039/ami.2018.05.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we introduce the hyperbolic k-Pell functions and new classes of quaternions associated with this type of functions are presented. In addition, the Binet formulas, generating functions and some properties of these functions and quaternions sequences are studied.
引用
收藏
页码：61 / 73
页数：13
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