Holomorphic functions in generalized Cayley-Dickson algebras
Complex Variables
2014-03-20 v3 Rings and Algebras
Abstract
In this paper we investigated holomorphic functions (belonging to the kernel of the Dirac operator) in Cayley-Dickson algebras. For this purpose, we study the structure of Cayley-Dickson algebras. We also provide an algorithm for the construction of such functions.
Cite
@article{arxiv.1307.3641,
title = {Holomorphic functions in generalized Cayley-Dickson algebras},
author = {Cristina Flaut and Vitalii Shpakivskyi},
journal= {arXiv preprint arXiv:1307.3641},
year = {2014}
}
Comments
The idea of this paper appeared in the AMAA Conference, held at Ovidius University of Constanta, Romania, 4-6 April 2013. http://math.univ-ovidius.ro/default.aspx?cat=Evenimente&ItemID=122(final version)