- Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Vol: 15 Issue: 2
- Generalized k-Order Fibonacci Hybrid Quaternions
Generalized k-Order Fibonacci Hybrid Quaternions
Authors : Kübra Gül
Pages : 670-683
Doi:10.18185/erzifbed.1132164
View : 8 | Download : 3
Publication Date : 2022-08-31
Article Type : Research
Abstract :In this study, generalized k-order Fibonacci hybrid quaternion is defined. We give recurrence relation, generating function, the summation formula and some properties for these quaternions. Furthermore, the matrix representation for generalized k-order Fibonacci hybrid quaternions is determined. The Q_k matrix defined for k-order Fibonacci numbers is given for the generalized k-order Fibonacci hybrid quaternions. By the means of this matrix and another defined matrices, several identities of these quaternions are also obtained.Keywords : Fibonacci sequence, k-order Fibonacci sequence, hybrid numbers, quaternions.