Publication at Faculty of Mathematics and Physics |
2019
Abstract
As is the case for the theory of holomorphic functions in the complex plane, the Cauchy Integral Formula has proven to be a corner stone of Clifford analysis, the monogenic function theory in higher dimensional euclidean space. In recent years, several new branches of Clifford analysis have emerged, namely, Hermitian and Quaternionic Clifford analysis as refinements of euclidean Clifford analysis.
In this contribution, we give an overview on the Cauchy Integral Formulae in these new branches of Clifford analysis.