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  1. Advances in Applied Clifford Algebras
  2. Advances in Applied Clifford Algebras : Volume 26
  3. Advances in Applied Clifford Algebras : Volume 26, Issue 1, March 2016
  4. A Note on Jacobsthal Quaternions
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Advances in Applied Clifford Algebras : Volume 26
Advances in Applied Clifford Algebras : Volume 26, Issue 3, September 2016
Advances in Applied Clifford Algebras : Volume 26, Issue 2, June 2016
Advances in Applied Clifford Algebras : Volume 26, Issue 1, March 2016
Noncommutative Galois Extension and Graded q-Differential Algebra
First Order Differential Operators Associated to the Space of Monogenic Functions in Parameter-Depending Clifford Algebras
Canal Surfaces with Quaternions
On Pell Quaternions and Pell-Lucas Quaternions
Matrix Mechanics of the Relativistic Point Particle and String in Clifford Space
The $${h(x)}$$ h ( x ) -Fibonacci Quaternion Polynomials: Some Combinatorial Properties
A Differential Calculus on the Z3-graded Quantum Group GL q (2)
A New Generalization of the Steiner Formula and the Holditch Theorem
One-Parameter Homothetic Motions and Euler-Savary Formula in Generalized Complex Number Plane $${\mathbb{C}_{J}}$$ C J
Some Results on the Lattice Parameters of Quaternionic Gabor Frames
Geometric Algebra-based Modeling and Analysis for Multi-layer, Multi-temporal Geographic Data
Two Novel Algebraic Techniques for Quaternion Least Squares Problems in Quaternionic Quantum Mechanics
The Fermi-Walker Derivative on the Spherical Indicatrix of a Space Curve
The Fermi–Walker Derivative on the Spherical Indicatrix of Timelike Curve in Minkowski 3-Space
Bicomplex Weighted Hardy Spaces and Bicomplex C*-algebras
On Rotation About Lightlike Axis in Three-Dimensional Minkowski Space
A Clifford Bundle Approach to the Wave Equation of a Spin 1/2 Fermion in the de Sitter Manifold
An Alternative Approach to Elliptical Motion
Pseudo f-Manifolds with Complemented Frames
Point Particle with Extrinsic Curvature as a Boundary of a Nambu–Goto String: Classical and Quantum Model
On Split k-Fibonacci and k-Lucas Quaternions
Commutative C*-Algebras Generated by Toeplitz Operators on the Super Unit Ball
Slice Lebesgue Measure of Quaternions
Curvilinear Integral Theorems for Monogenic Functions in Commutative Associative Algebras
The Pell Quaternions and the Pell Octonions
A Note on Jacobsthal Quaternions
New Types of Canal Surfaces in Minkowski 3-Space
Ulam–Hyers Stability for Fractional Differential Equations in Quaternionic Analysis
Tighter Uncertainty Principles Based on Quaternion Fourier Transform
Expansions for the Dirac Operator and Related Operators in Super Spinor Space
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 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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A Note on Jacobsthal Quaternions

Content Provider Springer Nature Link
Author Szynal Liana, Anetta Włoch, Iwona
Copyright Year 2015
Abstract In this paper we introduce the Jacobsthal quaternions and the Jacobsthal–Lucas quaternions and give some of their properties. We derive the relations between Jacobsthal quaternions and Jacobsthal–Lucas quaternions and we give the matrix representation of these quaternions.
Starting Page 441
Ending Page 447
Page Count 7
File Format PDF
ISSN 01887009
Journal Advances in Applied Clifford Algebras
Volume Number 26
Issue Number 1
e-ISSN 16614909
Language English
Publisher Springer International Publishing
Publisher Date 2015-11-05
Publisher Place Cham
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Jacobsthal numbers Jacobsthal–Lucas numbers quaternions recurrence relations 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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