Geodesic
Conformal mapping onto a~circular polygon with double simmetry
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 6 (2013), pp. 20-26

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A conformal mapping of the unit disk $E=\{\xi\in\boldsymbol C\colon|\xi|1\}$ onto a circular $2n$-gon, $n\in\boldsymbol N\setminus\{1\}$, with $n$-fold symmetry of rotation relatively to the point $w=0$ and with symmetry relatively to the straight $l=\left\{w\in\boldsymbol C\colon\operatorname{arg}w=\frac\pi n\right\}$ has been obtained in the integral form.
Keywords: conformal mapping, symmetry of rotation, circular polygon, Schwarz derivative. 
@article{VTGU_2013_6_a2,
     author = {I. A. Kolesnikov},
     title = {Conformal mapping onto a~circular polygon with double simmetry},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {20--26},
     publisher = {mathdoc},
     number = {6},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2013_6_a2/}
}
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I. A. Kolesnikov. Conformal mapping onto a~circular polygon with double simmetry. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 6 (2013), pp. 20-26. http://geodesic.mathdoc.fr/item/VTGU_2013_6_a2/