Abstract: This paper researches properties of a regular function defined on a domain in Clifford analysis. Also, the paper investigates properties of extensions for a regular function with values in $D_H$ and the corresponding Cauchy-Riemann system for a regular function of dual quaternionic variables.
Keywords: quaternion, dual number, regular function, Cauchy-Riemann system, Clifford analysis.
Classification (MSC2000): 32A99; 32W50, 30G35, 11E88
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