Abstract
Horadam defined the Fibonacci quaternions and established a few relations for the Fibonacci quaternions. In this paper, we investigate the complex Fibonacci quaternions and give the generating function and Binet formula for these quaternions. Moreover, we also give the matrix representations of them.
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S. Halici, On Fibonacci Quaternions. Adv. Appl. Clifford Algebras DOI 10.1007/s00006-011-0317-1.
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Halici, S. On Complex Fibonacci Quaternions. Adv. Appl. Clifford Algebras 23, 105–112 (2013). https://doi.org/10.1007/s00006-012-0337-5
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DOI: https://doi.org/10.1007/s00006-012-0337-5