Unrestricted Tribonacci and Tribonacci-Lucas quaternions

被引：0

作者：

Kizilaslan, Gonca ^{[1
]}

Karabulut, Leyla ^{[2
]}

机构：

[1] Kirikkale Univ, Fac Sci & Arts, Dept Math, TR-71450 Kirikkale, Turkiye

[2] Grad Sch Nat & Appl Sci, Dept Math, TR-71450 Kirikkale, Turkiye

来源：

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2023年 / 29卷 / 02期

关键词：

Quaternion; Recurrences; Integer sequences; GENERALIZED QUATERNIONS; K-FIBONACCI; NUMBERS;

D O I：

10.7546/nntdm.2023.29.2.310-321

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define a generalization of Tribonacci and Tribonacci-Lucas quaternions with arbitrary Tribonacci numbers and Tribonacci-Lucas numbers coefficients, respectively. We get generating functions and Binet's formulas for these quaternions. Furthermore, several sum formulas and a matrix representation are obtained.

引用

页码：310 / 321

页数：12

共 38 条

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