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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2023, Number 82, Pages 28–38
DOI: https://doi.org/10.17223/19988621/82/3 (Mi vtgu987) 		 
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
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DOI: https://doi.org/10.17223/19988621/82/3
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.
Received: 18.08.2022
Accepted: March 31, 2023
Document Type: Article
UDC: 517.542
MSC: 30C20
Language: English
Citation: N. A. Trubaev, “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”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2023, no. 82, 28–38
Citation in format AMSBIB
\Bibitem{Tru23}
\by N.~A.~Trubaev
\paper 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
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2023
\issue 82
\pages 28--38
\mathnet{http://mi.mathnet.ru/vtgu987}
\crossref{https://doi.org/10.17223/19988621/82/3}
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