New Aspects on Elementary Functions in the Context of Quaternionic Analysis

S. Georgiev; J. Morais; W. Spross

doi:10.4067/S0719-06462012000100008

New Aspects on Elementary Functions in the Context of Quaternionic Analysis

Authors

S. Georgiev Department of Differential Equations, University of Sofia, Sofia, Bulgaria.
J. Morais Technical University of Mining, Freiberg, Germany.
W. Spross Technical University of Mining, Freiberg, Germany

DOI:

https://doi.org/10.4067/S0719-06462012000100008

Keywords:

Quaternionic analysis, elementary functions

Abstract

The main objective of this article is to give a survey on elementary functions in the context of quaternionic analysis. We define some of their more common properties, which as in the real and complex cases, will be familiar to the reader. This leads to the consideration of quaternion-valued functions depending on a quaternion variable, that is, functions whose input and output are quaternions.

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Published

2012-03-01

How to Cite

[1]

S. Georgiev, J. Morais, and W. Spross, “New Aspects on Elementary Functions in the Context of Quaternionic Analysis”, CUBO, vol. 14, no. 1, pp. 93–110, Mar. 2012.