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...

Full description

Bibliographic Details
Main Author: Ji Eun Kim
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2021-07-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/4373