POLAR REPRESENTATION OF COMPLEX OCTONIONS
Öz
The complex octonions are a non-associative extension of complex quaternions, are used in areas such as quantum
physics, classical electrodynamics, the representations of robotic systems, kinematics etc [2,3]. In this paper, we study
the complex octonions and their basic properties. We generalize in a natural way De-Moivre’s and Euler’s formulae
for division complex octonions algebra.
physics, classical electrodynamics, the representations of robotic systems, kinematics etc [2,3]. In this paper, we study
the complex octonions and their basic properties. We generalize in a natural way De-Moivre’s and Euler’s formulae
for division complex octonions algebra.
Anahtar Kelimeler
De-Moiver’s formula, Euler’s formula, complex octonion.
Tam Metin:
PDF (English)Referanslar
Baez, J., 2002, ‚The Octonions‛, Bulletin (New Series) Of The American Mathematical Society (Bull.
Amer. Math. Soc.) Vol. 39, pp. 145-205.
Kansu, M.E., Tanışlı M., Süleyman D., 2012, ‘’Electromagnetic Energy Conservation with Complex
Octonions’’, Turk Journal of Physics, Vol. 36, pp. 438 – 445.
James, D., Edmonds, J., 1978, ‚Nine-vectors, Complex Octonion/quaternion Hypercomplex Numbers,
Lie groups, and The 'Real' World‛, Foundations of Physics, Vol. 8, pp. 303-311.
Jafari, M., 2016, ‚On The Matrix Algebra of Complex Quaternions‛, Accepted for publication in TWMS
Journal of Pure and Applied Mathematics. DOI: 10.13140/RG.2.1.3565.2321
DOI: https://doi.org/10.15317/Scitech.2016.64
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Telif Hakkı (c) 2016 Selçuk Üniversitesi Mühendislik, Bilim ve Teknoloji Dergisi
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