The regularity of functions on dual split quaternions in Clifford analysis
type: Item
instance of: scholarly article
title: The regularity of functions on dual split quaternions in Clifford analysis
zbMATH Open document ID: 1469.30106
DOI: 10.1155/2014/369430
author: Ji Eun Kim
author: Kwang Ho Shon
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper shows some properties of dual split quaternion numbers and expressions of power series in dual split quaternions and provides differential operators in dual split quaternions and a dual split regular function on \(\Omega \subset \mathbb C^2 \times \mathbb C^2\) that has a dual split Cauchy-Riemann system in dual split quaternions.
Mathematics Subject Classification ID: 30G35
zbMATH DE Number: 7022244
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/369430
OpenAlex ID: W1965794360
Wikidata QID: Q59036782
cites work: Q3993060
cites work: Rotations with unit time-like quaternions in Minkowski 3-space
cites work: SPLIT QUATERNIONS AND ROTATIONS IN SEMI EUCLIDEAN SPACE E42
cites work: On complexified mechanics and coquaternions
cites work: Split quaternionic analysis and separation of the series for \(\mathrm{SL}(2,\mathbb R)\) and \(\mathrm{SL}(2,\mathbb C)/\mathrm{SL}(2,\mathbb R)\)
cites work: Timelike surfaces of constant mean curvature in Minkowski 3-space
cites work: Linear algebra and numerical algorithms using dual numbers
cites work: An extension problem for solutions of partial differential equations in
cites work: Extension problem for functions with values in a Clifford algebra
cites work: Q4466726
cites work: Q3517487
cites work: Regular functions with values in ternary number system on the complex Clifford analysis
cites work: Regularity of functions on the reduced quaternion field in Clifford analysis
cites work: Hyperholomorphic functions and hyper-conjugate harmonic functions of octonion variables
cites work: Dual quaternion functions and its applications
cites work: TAYLOR SERIES OF FUNCTIONS WITH VALUES IN DUAL QUATERNION
description: scientific article; zbMATH DE number 7022244