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  1. Advances in Applied Clifford Algebras
  2. Advances in Applied Clifford Algebras : Volume 23
  3. Advances in Applied Clifford Algebras : Volume 23, Issue 3, September 2013
  4. Split Fibonacci Quaternions
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Advances in Applied Clifford Algebras : Volume 26
Advances in Applied Clifford Algebras : Volume 25
Advances in Applied Clifford Algebras : Volume 24
Advances in Applied Clifford Algebras : Volume 23
Advances in Applied Clifford Algebras : Volume 23, Issue 4, December 2013
Advances in Applied Clifford Algebras : Volume 23, Issue 3, September 2013
Split Fibonacci Quaternions
Appell Bases for Monogenic Functions of Three Variables
Hartog’s Type Extension Theorem in Some Piecewise Constant Structure Relations For Metamonogenic Functions of First Order
Dual Quaternion Involutions and Anti-Involutions
Infinite Dimensional Bicomplex Spectral Decomposition Theorem
Real Clifford Algebras as Tensor Products over Centers
On Eigenvalues of Split Quaternion Matrices
On Complex Split Quaternion Matrices
A Hyperbolic Non Distributive Algebra in 1 + 2 Dimensions
Real Matrix Representations for the Complex Quaternions
On Generalized Fibonacci Quaternions and Fibonacci-Narayana Quaternions
On a Solution of the Quaternion Matrix Equation $${A \tilde{X} -X B = C}$$ and Its Applications
Unbounded Normal Operators in Octonion Hilbert Spaces and Their Spectra
A Two-Parameter Quantum (2+1)-Superspace and its Deformed Derivation Algebra as Hopf Superalgebra
Spinor Bishop Equations of Curves in Euclidean 3-Space
Strapdown INS/GPS Integrated Navigation Using Geometric Algebra
Advances in Applied Clifford Algebras : Volume 23, Issue 2, June 2013
Advances in Applied Clifford Algebras : Volume 23, Issue 1, March 2013
Advances in Applied Clifford Algebras : Volume 22
Advances in Applied Clifford Algebras : Volume 21
Advances in Applied Clifford Algebras : Volume 20
Advances in Applied Clifford Algebras : Volume 19
Advances in Applied Clifford Algebras : Volume 18
Advances in Applied Clifford Algebras : Volume 17
Advances in Applied Clifford Algebras : Volume 16
Advances in Applied Clifford Algebras : Volume 15
Advances in Applied Clifford Algebras : Volume 14
Advances in Applied Clifford Algebras : Volume 13
Advances in Applied Clifford Algebras : Volume 12
Advances in Applied Clifford Algebras : Volume 11
Advances in Applied Clifford Algebras : Volume 10
Advances in Applied Clifford Algebras : Volume 9
Advances in Applied Clifford Algebras : Volume 8
Advances in Applied Clifford Algebras : Volume 7

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Split Fibonacci Quaternions

Content Provider Springer Nature Link
Author Akyiğit, Mahmut Kösal, Hidayet Hüda Tosun, Murat
Copyright Year 2013
Abstract Starting from ideas given by Horadam in [5] , in this paper, we will define the split Fibonacci quaternion, the split Lucas quaternion and the split generalized Fibonacci quaternion. We used the well-known identities related to the Fibonacci and Lucas numbers to obtain the relations between the split Fibonacci, split Lucas and the split generalized Fibonacci quaternions. Moreover, we give Binet formulas and Cassini identities for these quaternions.
Starting Page 535
Ending Page 545
Page Count 11
File Format PDF
ISSN 01887009
Journal Advances in Applied Clifford Algebras
Volume Number 23
Issue Number 3
e-ISSN 16614909
Language English
Publisher Springer Basel
Publisher Date 2013-06-13
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Split Fibonacci Quaternion Split Lucas Quaternion Mathematical Methods in Physics Theoretical, Mathematical and Computational Physics Applications of Mathematics Physics
Content Type Text
Resource Type Article
Subject Applied Mathematics
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