A polar representation of a regularity of a dual quaternionic function in Clifford analysis
Bull. Korean Math. Soc. 2017 Vol. 54, No. 2, 583-592
https://doi.org/10.4134/BKMS.b160200
Published online March 31, 2017
Ji Eun Kim and Kwang Ho Shon
Dongguk University, Pusan National University
Abstract : 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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