TWO CONCISE REPRESENTATIONS OF THE SOLUTION OF BASIC VEKUA EQUATION

Abstract

The basic Vekua equation (8), by Polozil [4], defined so-called generalized analytic functions of third class with characteristic \(\mu = 1\), but Fempl [1] defined so-called nonanalytic functions which outgoing of analyticity is two times bigger of its complex conjugate value.

In this work the generalized solution (9) of the basic Vekua equation (8), is founded using areolar series [6] and is written in two more concise forms (12) and (20).