MATHEMATICS

Solution of the parameter problem of the Schwarz–Christoffel conformal mapping of the interior (exterior) of a circle onto the interior (exterior) of a polygon

N. A. Trubaev

Russian University of Transport (MIIT), Moscow, Russian Federation

Abstract: We propose an analytical solution of the parameter problem of the Schwarz–Christoffel conformal mapping of the interior (exterior) of a circle onto the interior (exterior) of a polygon by use of the behavior of the Newtonian simple layer and logarithmic potentials equal to a constant inside of a simply connected domain.

Keywords: conformal mapping, Schwarz–Christoffel parameter problem, potential method.

UDC: 517.542

MSC: 30C20

Received: 18.08.2022
Accepted: March 31, 2023

Language: English

DOI: 10.17223/19988621/82/3