Results 81 to 90 of about 123 (103)
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Fibonacci Generalized Quaternions
Advances in Applied Clifford Algebras, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü +5 more
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On Complex Fibonacci Quaternions
Advances in Applied Clifford Algebras, 2012Let \(\{F_n\}\) be the Fibonacci sequence and \[ Q_n = F_n + F_{n+1}e_1 + F_{n+2}e_2 + F_{n+3}e_3 \] be the \(n\)-th Fibonacci quaternion, where \(e_1, e_2, e_3\) are the standard orthonormal basis in \(R^3\) and they satisfy equalities \[ e_1^2 = e_2^2 = e_3^2 = e_1e_2e_3 = -1.
Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü +1 more
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A Generalization of Fibonacci and Lucas Quaternions
Advances in Applied Clifford Algebras, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On higher order Fibonacci quaternions
The Journal of Analysis, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tiekoro Kone, Can Kızılateş
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Generalized dual Fibonacci quaternions
2016Summary: In this paper, we defined the generalized dual Fibonacci quaternions. Also, we investigated the relations between different generalized dual Fibonacci quaternions. Furthermore, we gave the Binet's formulas and Cassini identities for these quaternions.
Yuce, Salim, Torunbalcı Aydın, Fügen
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Corrigendum to ``Bicomplex Fibonacci quaternions''
2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2013
In this study, we defined the dual Fibonacci quaternions. We investigated some algebraic properties of these quaternions. We gave the Binet formula and the generating function of them. We also gave their matrix representations.
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In this study, we defined the dual Fibonacci quaternions. We investigated some algebraic properties of these quaternions. We gave the Binet formula and the generating function of them. We also gave their matrix representations.
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On the Solutions of Quaternion Difference Equations in Terms of Generalized Fibonacci-Type Numbers
Symmetry, 2022Kubra Gul
exaly
Some properties of the norm in a division quaternion algebra
Mathematical Methods in the Applied Sciences, 2022Cristina Flaut
exaly