Split Pell and Pell-Lucas Quaternions

被引：15
|
作者：
Tokeser, Umit [1 ]
Unal, Zafer [1 ]
Bilgici, Goksal [2 ]
机构：
[1] Kastamonu Univ, Fac Arts & Sci, Dept Math, Kastamonu, Turkey
[2] Kastamonu Univ, Dept Comp Educ & Instruct Technol, Educ Fac, Kastamonu, Turkey
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2017年 / 27卷 / 02期
关键词：
Split Pell quaternions; Split Pell-Lucas quaternions; Split quaternions; K-FIBONACCI;
D O I：
10.1007/s00006-016-0747-x
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 introduce split Pell and split Pell-Lucas quaternions. We give generating functions and Binet formulas for these numbers. Also, we obtain many identities for split Pell and split Pell-Lucas quaternions including Catalan's identity, Cassini's identity and d'Ocagne's identity.
引用
收藏
页码：1881 / 1893
页数：13
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