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MATHEMATICS
Conformal mapping of a half-plane onto a periodic polygon of half-plane type
I. A. Kolesnikov Tomsk State University, Tomsk, Russian Federation
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.
Received: 30.12.2021 Accepted: May 19, 2022
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
Linking options:
https://www.mathnet.ru/eng/vtgu921 https://www.mathnet.ru/eng/vtgu/y2022/i77/p5
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