Higher-Order Jacobsthal-Lucas Quaternions

被引：6
作者：
Uysal, Mine [1 ]
Ozkan, Engin [2 ]
机构：
[1] Erzincan Binali Yildirim Univ, Grad Sch Nat & Appl Sci, TR-24100 Erzincan, Turkey
[2] Erzincan Binali Yildirim Univ, Fac Arts & Sci, Dept Math, TR-24100 Erzincan, Turkey
来源：
AXIOMS | 2022年 / 11卷 / 12期
关键词：
Jacobsthal-Lucas quaternions; higher-order Jacobsthal-Lucas quaternions; Binet formula; FIBONACCI; NUMBERS;
D O I：
10.3390/axioms11120671
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we define higher-order Jacobsthal-Lucas quaternions with the help of higher-order Jacobsthal-Lucas numbers. We examine some identities of higher-order Jacobsthal-Lucas quaternions. We introduce their basic definitions and properties. We give Binet's formula, Cassini's identity, Catalan's identity, d'Ocagne identity, generating functions, and exponential generating functions of the higher-order Jacobsthal-Lucas quaternions. We also give some relations between higher-order Jacobsthal and Jacobsthal-Lucas quaternions.
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页数：10
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