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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2022, Number 77, Pages 5–16
DOI: https://doi.org/10.17223/19988621/77/1
(Mi vtgu921)
 

MATHEMATICS

Conformal mapping of a half-plane onto a periodic polygon of half-plane type

I. A. Kolesnikov

Tomsk State University, Tomsk, Russian Federation
References:
Abstract: We consider countable polygons - simply connected half-plane-type domains with translation symmetry along the real axis and a boundary consisting of line segments. The method for determining the parameters in the Christoffel-Schwartz integral extends to the case of a conformal mapping of a half-plane onto a counting-gon.
Keywords: conformal mapping, periodic polygon, transfer symmetry, Schwarz-Christoffel integral.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2022-884
This work was supported by the Ministry of Science and Higher Education of Russia (agreement No. 075-02-2022-884).
Received: 30.12.2021
Accepted: May 19, 2022
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: 30C20, 30C30
Language: Russian
Citation: I. A. Kolesnikov, “Conformal mapping of a half-plane onto a periodic polygon of half-plane type”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2022, no. 77, 5–16
Citation in format AMSBIB
\Bibitem{Kol22}
\by I.~A.~Kolesnikov
\paper Conformal mapping of a half-plane onto a periodic polygon of half-plane type
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2022
\issue 77
\pages 5--16
\mathnet{http://mi.mathnet.ru/vtgu921}
\crossref{https://doi.org/10.17223/19988621/77/1}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4464661}
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