Results 101 to 110 of about 228 (120)

A New Aspect of Dual Fibonacci Quaternions

Advances in Applied Clifford Algebras, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Salim Yüce, Fügen Torunbalcı Aydın
exaly   +7 more sources

A Generalization of Fibonacci and Lucas Quaternions

Advances in Applied Clifford Algebras, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Emrah Polatlı
exaly   +6 more sources

Split Fibonacci Quaternions

Advances in Applied Clifford Algebras, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akyiğit, Mahmut, Tosun, Murat, Kösal, Hidayet Hüda   +2 more
openaire   +3 more sources

Fibonacci Sequences of Quaternions

The Fibonacci Quarterly, 2009
Abrate, Marco
openaire   +3 more sources

On Split k-Fibonacci and k-Lucas Quaternions

Advances in Applied Clifford Algebras, 2015
In this paper, we introduce the split k-Fibonacci and k-Lucas quaternions. We obtain the Binet formulas, generating functions and exponential generating functions of these quaternions.
Emrah Polatli, Seyhun Kesim
exaly   +2 more sources

A note on bi-periodic Fibonacci and Lucas quaternions

Chaos, Solitons and Fractals, 2016
Motivated by the our recent work in Tan et al., 2016, related to the bi-periodic Fibonacci quaternions, here we introduce the bi-periodic Lucas quaternions that gives the Lucas quaternions as a special case.
Elif Tan, Semih Yilmaz, Murat Şahi̇N   +2 more
exaly   +2 more sources

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A note on h ( x ) − Fibonacci quaternion polynomials

Chaos, Solitons & Fractals, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Generalized dual Fibonacci quaternions

2016
Summary: 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
openaire   +2 more sources

Corrigendum to ``Bicomplex Fibonacci quaternions''

2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On dual Fibonacci quaternions

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.
openaire   +1 more source