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 | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2023. № 82. DOI: 10.17223/19988621/82/3

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

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.

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Keywords

potential method, Schwarz-Christoffel parameter problem, conformal mapping

Authors

Name	Organization	E-mail
Trubaev Nikolai A.	Russian University of Transport (MIIT)	trubaevn@umail.ru

Всего: 1

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