Tetranacci and Tetranacci-Lucas Quaternions
Asian Research Journal of Mathematics · pp. 1–24 · Published 12 Aug 2019
10.9734/arjom/2019/v15i130137Abstract
The quaternions form a 4-dimensional Cayley-Dickson algebra. In this paper, we introduce the Tetranacci and Tetranacci-Lucas quaternions. Furthermore, we present some properties of these quaternions and derive relationships between them. We present the generating functions, Binet's formulas and sums formulas of these quaternions. Moreover, we give matrix formulation of Tetranacci and Tetranacci-Lucas quaternions.
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