Year: 2023
Type: preprint
Abstract: In the algebra of complex quaternions $\mathbb{H(C)}$ we consider for the first time left- and right-$ψ$-hyperholomorphic functions. We justify the transition in left- and right-$ψ$-hyperholomorphic functions to a simpler basis i.e. to the Cartan basis. Using Cartan's basis we find the solution of Cauchy-Fueter equation. By the same method we find a representation of left-$ψ$-hyperholomorphic function in a special case.
Source: arXiv (Cornell University)
Authors: Kuzmenko, Tetiana, Shpakivskyi, Vitalii
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4388747857