Gelin-Cesaro identities for Fibonacci and Lucas quaternions

被引：1
|
作者：
Dasdemir, Ahmet [1 ]
机构：
[1] Kastamonu Univ, Dept Math, Kastamonu, Turkey
来源：
ANNALES UNIVERSITATIS PAEDAGOGICAE CRACOVIENSIS-STUDIA MATHEMATICA | 2019年 / 18卷 / 01期
关键词：
Fibonacci quaternion; Gelin-Cesaro identity; Catalan's identity;
D O I：
10.2478/aupcsm-2019-0010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
To date, many identities of different quaternions, including the Fibonacci and Lucas quaternions, have been investigated. In this study, we present Gelin-Cesaro identities for Fibonacci and Lucas quaternions. The identities are a worthy addition to the literature. Moreover, we give Catalan's identity for the Lucas quaternions.
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页码：137 / 144
页数：8
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