Regularity of functions on the reduced quaternion field in Clifford analysis
type: Item
instance of: scholarly article
title: Regularity of functions on the reduced quaternion field in Clifford analysis
zbMATH Open document ID: 1474.30263
DOI: 10.1155/2014/654798
author: Ji Eun Kim
author: Su Jin Lim
author: Kwang Ho Shon
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We define a new hypercomplex structure of \(\mathbb{R}^3\) 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 \(\mathbb{R}^3\).
Mathematics Subject Classification ID: 30G35
zbMATH DE Number: 7022834
Wikidata QID: Q59040392
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/654798
OpenAlex ID: W2052035489
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description: scientific article; zbMATH DE number 7022834