Bicomplex k-Pell Quaternions

被引：13
|
作者：
Catarino, Paula [1 ]
机构：
[1] Univ Tras Os Montes & Alto Douro, Dept Math, P-5001801 Vila Real, Portugal
来源：
COMPUTATIONAL METHODS AND FUNCTION THEORY | 2019年 / 19卷 / 01期
关键词：
Bicomplex number; k-Pell number; k-Pell quaternion; Bicomplex quaternion; Bicomplex k-Pell quaternion; FIBONACCI; LUCAS; MATRICES; NUMBERS;
D O I：
10.1007/s40315-018-0251-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this work is to consider the bicomplex k-Pell quaternions and to present some properties involving this sequence, including the Binet-style formulae and the generating functions. Furthermore, Cassini's identity, Catalan's identity, and d'Ocagne's identity for this type of bicomplex quaternions are given, and a different way to find the nth term of this sequence is stated using the determinant of a tridiagonal matrix whose entries are bicomplex k-Pell quaternions.
引用
收藏
页码：65 / 76
页数：12
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