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Vestnik Tomskogo gosudarstvennogo universiteta Matematika i mekhanika
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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

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
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2023Publisher:Tomsk State UniversityJournal:Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika (issn: 1998-8621, eissn: 2311-2255, Copyright policy )
Authors: Trubaev, Nikolai A.;

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

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 (exte-rior) 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

Кристоффеля-Шварца проблема параметров, conformal mapping, Schwarz-Christoffel parameter problem, Conformal mappings of special domains, метод потенциала, конформное отображение

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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