Geodesic
On univalent mappings performed by the generalized Christoffel--Schwarz formula
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Mathematical analysis, Tome 143 (2017), pp. 81-86.

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We examine the existence of an univalent mapping of the upper half-plane with a fixed set of preimages of vertices to a polygonal domain.
Keywords: Hilbert boundary-value problem, Christoffel–Schwarz integral, vortex at infinity, univalent function. 
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     author = {P. L. Shabalin and E. N. Karabasheva},
     title = {On univalent mappings performed by the generalized {Christoffel--Schwarz} formula},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {81--86},
     publisher = {mathdoc},
     volume = {143},
     year = {2017},
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     url = {http://geodesic.mathdoc.fr/item/INTO_2017_143_a5/}
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P. L. Shabalin; E. N. Karabasheva. On univalent mappings performed by the generalized Christoffel--Schwarz formula. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Mathematical analysis, Tome 143 (2017), pp. 81-86. http://geodesic.mathdoc.fr/item/INTO_2017_143_a5/