Generalized k-Order Fibonacci Hybrid Quaternions

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Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Volume:15 Issue:2
Generalized k-Order Fibonacci Hybrid Quaternions

Generalized k-Order Fibonacci Hybrid Quaternions

Pages : 670-683

View : 20 | Download : 16

Publication Date : 2022-08-31

Article Type : Research Paper

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

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