Application of slice regularity to functions of a dual-quaternionic variable
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DOI:
https://doi.org/10.15330/cmp.13.2.298-304Keywords:
dual number, quaternion, Cauchy-Riemann equation, slice regular function, Clifford analysisAbstract
In this paper, we present the algebraic properties of dual quaternions and define a slice regularity of a dual quaternionic function. Since the product of dual quaternions is non-commutative, slice regularity is derived in two ways. Thereafter, we propose the Cauchy-Riemann equations and a power series corresponding to dual quaternions.
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Published
2021-07-24
How to Cite
(1)
Kim, J. E. Application of Slice Regularity to Functions of a Dual-Quaternionic Variable: Array. Carpathian Math. Publ. 2021, 13, 298-304.
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Scientific articles