Results 71 to 80 of about 120 (109)
The k-Fibonacci dual quaternions
International Journal of Mathematical Analysis, 2018 openaire +3 more sources
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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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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akyiğit, Mahmut +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akyiğit, Mahmut +2 more
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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 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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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.
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Bicomplex Fibonacci quaternions
Chaos, Solitons & Fractals, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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, Fügen Torunbalcı Aydın
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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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