New Aspects on Elementary Functions in the Context of Quaternionic Analysis

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DOI:

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

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.

Keywords

Quaternionic analysis , elementary functions
  • 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
  • Pages: 93–110
  • Date Published: 2012-03-01
  • Vol. 14 No. 1 (2012): CUBO, A Mathematical Journal

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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.

Issue

Vol. 14 No. 1 (2012): CUBO, A Mathematical Journal

Section

Articles