Geodesic
The generalized bi-periodic Fibonacci quaternions and octonions
Novi Sad Journal of Mathematics, Tome 49 (2019) no. 1.

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In this paper, we present a further generalization of the bi-periodic Fibonacci quaternions and octonions. We give the generating function, the Binet formula, and some basic properties of these quaternions and octonions. The results of this paper not only give a generalization of the bi-periodic Fibonacci quaternions and octonions, but also include new results such as the matrix representation and the norm value of the generalized bi-periodic Fibonacci sequence.
Publié le :
DOI : 10.30755/NSJOM.07284
Classification : 11B39, 05A15
Keywords: quaternions, octonions, Fibonacci sequence, bi-periodic Fibonacci sequence 
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     title = {The generalized bi-periodic {Fibonacci} quaternions and octonions},
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Murat Sahin; Elif Tan; Semih Yilmaz. The generalized bi-periodic Fibonacci quaternions and octonions. Novi Sad Journal of Mathematics, Tome 49 (2019) no. 1. doi : 10.30755/NSJOM.07284. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.07284/

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