Geodesic
The corresponding Cauchy--Riemann system for dual quaternion-valued functions
Problemy analiza, Tome 7 (2018) no. 1, pp. 59-69

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This paper provides differential operators in dual quaternions and represents the regularity of dual quaternionvalued functions using the dual Cauchy–Riemann system in dual quaternions. Also, we give the corresponding Cauchy theorem of the dual quaternion-valued function in Clifford analysis.
Keywords: quaternion; dual number; Cauchy–Riemann system; Cauchy theorem; Clifford analysis. 
@article{PA_2018_7_1_a3,
     author = {J. E. Kim},
     title = {The corresponding {Cauchy--Riemann} system for dual quaternion-valued functions},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2018_7_1_a3/}
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J. E. Kim. The corresponding Cauchy--Riemann system for dual quaternion-valued functions. Problemy analiza, Tome 7 (2018) no. 1, pp. 59-69. http://geodesic.mathdoc.fr/item/PA_2018_7_1_a3/