Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article
Computational Methods and Function Theory 5 (2005), No. 1, 89--110
Copyright Heldermann Verlag 2005

On the Solution of Discrete Vekua Equations

Klaus Gürlebeck
guerlebe@fossi.uni-weimar.de , Institut für Mathematik/Physik, Bauhaus-Universität Weimar, Coudraystr. 13B, 99423 Weimar, Germany.

Angela Hommel
thommel@friedel.in-chemnitz.de , Institut für Mathematik/Physik, Bauhaus-Universität Weimar, Coudraystr. 13B, 99423 Weimar, Germany.

[Abstract-pdf] [Abstract-ps]

We consider finite difference equations of Vekua type. Main goal of the paper is to prove a representation formula for the solution of homogeneous equations in the form of a product with one factor being a discrete holomorphic function.

Keywords: Finite difference equations, complex Vekua equation, discrete holomorphic functions, representation of solutions.

MSC 2000: 30G20, 30G25, 39A10.

[FullText-pdf (295 K)] [FullText-ps (552 K)]