Bicomplex k-Pell Quaternions

被引：0
|
作者：
Paula Catarino
机构：
[1] University of Trás-os-Montes e Alto Douro,Department of Mathematics
来源：
Computational Methods and Function Theory | 2019年 / 19卷
关键词：
Bicomplex number; -Pell number; -Pell quaternion; Bicomplex quaternion; Bicomplex ; -Pell quaternion; 11B39; 20G20; 11R52;
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学科分类号：
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.
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页码：65 / 76
页数：11
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