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Bull. Korean Math. Soc. 2017; 54(2): 583-592
Online first article March 9, 2017 Printed March 31, 2017
https://doi.org/10.4134/BKMS.b160200
Copyright © The Korean Mathematical Society.
A polar representation of a regularity of a dual quaternionic function in Clifford analysis
Ji Eun Kim and Kwang Ho Shon
Dongguk University, Pusan National University
The paper gives the regularity of dual quaternionic functions and the dual Cauchy-Riemann system in dual quaternions. Also, the paper researches the polar representation and properties of a dual quaternionic function and their regular quaternionic functions.
Keywords: quaternion, dual number, polar representation, regularity, Clifford analysis
MSC numbers: 32W50, 32A99, 30G35, 11E88
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