Representation of Quaternionic $\psi$-hyperholomorphic Functions
Complex Variables
2023-11-16 v1 Analysis of PDEs
Operator Algebras
Abstract
In the algebra of complex quaternions we consider for the first time left- and right--hyperholomorphic functions. We justify the transition in left- and right--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--hyperholomorphic function in a special case.
Cite
@article{arxiv.2311.08522,
title = {Representation of Quaternionic $\psi$-hyperholomorphic Functions},
author = {Tetiana Kuzmenko and Vitalii Shpakivskyi},
journal= {arXiv preprint arXiv:2311.08522},
year = {2023}
}