POLAR REPRESENTATION OF COMPLEX OCTONIONS

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. (Kansu et al., 2012, James et al., 1978). 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.