This article is cited in 4 papers

MATHEMATICS

A mapping to a round numerable polygon with the symmetry of transfer

I. A. Kolesnikov

Tomsk State University

Abstract: An analytical representation for a mapping holomorphic in the upper halfplane with symmetry of transfer along the real axis is obtained in the form of a differential equation. One particular case is represented in the integral form.

Keywords: numerable polygon, symmetry of transfer, linear differential equations of the Fuchs class, conformal mappings.

UDC: 517.54

Received: 08.01.2013