Geodesic
Conformal mapping of a half-plane onto a periodic polygon of half-plane type
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 77 (2022), pp. 5-16

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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. 
@article{VTGU_2022_77_a0,
     author = {I. A. Kolesnikov},
     title = {Conformal mapping of a half-plane onto a periodic polygon of half-plane type},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {5--16},
     publisher = {mathdoc},
     number = {77},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2022_77_a0/}
}
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I. A. Kolesnikov. Conformal mapping of a half-plane onto a periodic polygon of half-plane type. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 77 (2022), pp. 5-16. http://geodesic.mathdoc.fr/item/VTGU_2022_77_a0/