Tetranacci and Tetranacci-Lucas Quaternions

Main Article Content

Yüksel Soykan


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.

Tetranacci numbers, quaternions, Tetranacci quaternions, Tetranacci-Lucas quaternions.

Article Details

How to Cite
Soykan, Y. (2019). Tetranacci and Tetranacci-Lucas Quaternions. Asian Research Journal of Mathematics, 15(1), 1-24. https://doi.org/10.9734/arjom/2019/v15i130137
Original Research Article


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