Results 121 to 130 of about 908 (146)

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
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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
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A Generalization of Fibonacci and Lucas Quaternions

Advances in Applied Clifford Algebras, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized commutative Fibonacci p-number quaternions

Mathematica Applicanda
Summary: The Fibonacci \(p\)-numbers are a generalization of classical Fibonacci numbers, where \(p\) is a non-negative integer. For a Fibonacci \(p\)-number denoted as \(F_p(n)\), starting with initial values \(F_p(1) = F_p(2) = \cdots = F_p(p+1) = 1\). The paper explores generalized commutative quaternions of Fibonacci \(p\)-numbers and some of their
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Corrigendum to ``Bicomplex Fibonacci quaternions''

2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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

Fibonacci Sequences of Quaternions

The Fibonacci Quarterly, 2009
openaire   +2 more sources

Generalized commutative quaternions of the Fibonacci type

Boletin De La Sociedad Matematica Mexicana, 2021
Anetta Szynal-Liana, Iwona Włoch
exaly  

Quaternions in molecular modeling

Journal of Molecular Graphics and Modelling, 2007
Charles F F Karney
exaly  

Approaching Dual Quaternions From Matrix Algebra

IEEE Transactions on Robotics, 2014
Federico Thomas
exaly