On the Bicomplex Generalized Tribonacci Quaternions

被引：15

作者：

Kizilates, Can ^{[1
]}

Catarino, Paula ^{[2
]}

Tuglu, Naim ^{[3
]}

机构：

[1] Zonguldak Bulent Ecevit Univ, Dept Math, Fac Art & Sci, TR-67100 Zonguldak, Turkey

[2] Univ Tras Os Montes & Alto Douro, Dept Math, P-5001801 Vila Real, Portugal

[3] Gazi Univ, Fac Sci, Dept Math, TR-06500 Ankara, Turkey

来源：

MATHEMATICS | 2019年 / 7卷 / 01期

关键词：

bicomplex number; generalized tribonacci sequence; bicomplex generalized tribonacci quaternion;

D O I：

10.3390/math7010080

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce the bicomplex generalized tribonacci quaternions. Furthermore, Binet's formula, generating functions, and the summation formula for this type of quaternion are given. Lastly, as an application, we present the determinant of a special matrix, and we show that the determinant is equal to the nth term of the bicomplex generalized tribonacci quaternions.

引用

页数：8

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