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
收藏
页码：310 / 321
页数：12
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