Application of slice regularity to functions of a dual-quaternionic variable
| Autor: | Ji Eun Kim |
|---|---|
| Jazyk: | English<br />Ukrainian |
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Karpatsʹkì Matematičnì Publìkacìï, Vol 13, Iss 2, Pp 298-304 (2021) |
| Druh dokumentu: | article |
| ISSN: | 2075-9827 2313-0210 |
| DOI: | 10.15330/cmp.13.2.298-304 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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