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.

引用

页数：10

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