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On Fibonacci and Lucas Vectors and Quaternions [PDF]
, 2018 Onur Kaya, Mehmet Önder
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The k-Fibonacci dual quaternions
International Journal of Mathematical Analysis, 2018 openaire +3 more sources
Binomial transform of the bivariate Fibonacci quaternion polynomials and its properties [PDF]
Faruk Kaplan, Arzu Özkoç Öztürk
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On F(p, n) - Fibonacci quaternions
Bulletin de la Société des Sciences et des lettres de Łódź, Série: Recherches sur les déformations, 2018 openaire +2 more sources
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Fibonacci Generalized Quaternions
Advances in Applied Clifford Algebras, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akyiğit, Mahmut +2 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.
Serpil Halici
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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
Yalcin, Feyza, TAŞCI, DURSUN
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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
Yalcin, Feyza, TAŞCI, DURSUN
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Advances in Applied Clifford Algebras, 2013
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Akyiğit, Mahmut +2 more
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Akyiğit, Mahmut +2 more
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Bicomplex Fibonacci quaternions
Chaos, Solitons & Fractals, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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