Abstract
In this study, we define third order bronze Fibonacci quaternions. We obtain the generating functions, the Binet's formula and some properties of these quaternions. We give d'Ocagne's-like and Cassini's-like identity and we use q-determinants for quaternionic matrices to give the Cassini's identity for third order bronze Fibonacci quaternions.
Publisher
Turkish Journal of Mathematics and Computer Science, Association of Mathematicians
Reference20 articles.
1. Akbıyık, M, Alo, J., On third order bronze Fibonacci numbers, Mathematics, 9(2021), 2606,.
2. Aydın, F.T., Bicomplex Fibonacci quaternions, Chaos, Solitons and Fractals, 106(2018), 147–153.
3. Cerda, G., Bicomplex third order Jacobsthal quaternions, arXiv:1809.06979 [math.AC].
4. Cerda-Morales, G., Identites for third order Jacobsthal quaternions, Advances in Applied Clifford Algebras, 27(2)(2017), 1043–1053.
5. Cerda-Morales, G., Dual third-order Jacobsthal quaternions, Proyecciones Journal of Mathematics, 37(4)(2018), 731–747.
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