Application of slice regularity to functions of a dual-quaternionic variable
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 ser...
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Format: | Article |
Language: | English |
Published: |
Vasyl Stefanyk Precarpathian National University
2021-07-01
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Series: | Karpatsʹkì Matematičnì Publìkacìï |
Subjects: | |
Online Access: | https://journals.pnu.edu.ua/index.php/cmp/article/view/4373 |