On analogues of Laurent series for harmonic functions

Barlikbay B. Prenov

Kara-Kalpak State University, Nukus, Uzbekistan

Abstract: The purpose of our paper is to obtain a canonical representation for harmonic functions defined in a half-space and vanishing everywhere on the boundary of the domains except at a fixed singular point.

Keywords: harmonic functions, half-space, singular points.

UDC: 517.55+513.88

Received: 18.01.2010
Received in revised form: 25.02.2010
Accepted: 10.04.2010