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2014 Regularity of Functions on the Reduced Quaternion Field in Clifford Analysis
Ji Eun Kim, Su Jin Lim, Kwang Ho Shon
Abstr. Appl. Anal. 2014: 1-8 (2014). DOI: 10.1155/2014/654798

Abstract

We define a new hypercomplex structure of 3 and a regular function with values in that structure. From the properties of regular functions, we research the exponential function on the reduced quaternion field and represent the corresponding Cauchy-Riemann equations in hypercomplex structures of 3.

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Ji Eun Kim. Su Jin Lim. Kwang Ho Shon. "Regularity of Functions on the Reduced Quaternion Field in Clifford Analysis." Abstr. Appl. Anal. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/654798

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022834
MathSciNet: MR3186975
Digital Object Identifier: 10.1155/2014/654798

Rights: Copyright © 2014 Hindawi

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