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Quaternion Algebras and Generalized Fibonacci–Lucas Quaternions [PDF]
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Diana Savin, Cristina Flaut
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On a generalization for fibonacci quaternions
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Serpil Halici
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A note on certain matrices with h(x) – Fibonacci quaternion polynomials
In this paper we consider a g – circulant, right circulant, left circulant and a special kind of a tridiagonal matrices whose entries are h(x) – Fibonacci quaternion polynomials.
Paula Catarino
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Advances in Applied Clifford Algebras, 2014
The authors of this paper study the generalization of the Fibonacci quaternions to Fibonacci-\(p\) quaternions. On the base are the numbers of Fibonacci \(F_n\) with the recurrence formula \(F_{n+1} = F_{n} + F_{n-1}\), \(n\geq 1\) with initial values \(F_0 =0\), \(F_1 = 1\), and the numbers of Lucas \(L_{n+1} = L_{n} +L_{n-1}\), \(n\geq 1\) with \(L_0
Dursun Tasci, Dursun Taşci̧
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The authors of this paper study the generalization of the Fibonacci quaternions to Fibonacci-\(p\) quaternions. On the base are the numbers of Fibonacci \(F_n\) with the recurrence formula \(F_{n+1} = F_{n} + F_{n-1}\), \(n\geq 1\) with initial values \(F_0 =0\), \(F_1 = 1\), and the numbers of Lucas \(L_{n+1} = L_{n} +L_{n-1}\), \(n\geq 1\) with \(L_0
Dursun Tasci, Dursun Taşci̧
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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 New Aspect of Dual Fibonacci Quaternions
Advances in Applied Clifford Algebras, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Salim Yüce
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Bicomplex Fibonacci quaternions
Chaos, Solitons and Fractals, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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