On a method for the construction of Cauchy-type cores

Abstract

In this paper we study a method to construct Cauchy's kernels associated to some Cuachy-Riemann type operators.
Som conditions are established under the operators and non-Euclidean distances, associated to the studied operators, such that
the mentioned construction is possible. In addition, some Cauchy-Riemann type operators are defined for which the method is
applicable and the corresponding kernels are constructed to illustrate the method.

Keywords: Cauchy-Riemann type operator, Cauchy core, non-Euclidean distance, Laplace operator, Analytical function