Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2017 Volume 143, Pages 81–86
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2 papers
On univalent mappings performed by the generalized Christoffel–Schwarz formula
P. L. Shabalin,
E. N. Karabasheva Kazan State University of Architecture and Engineering
Abstract:
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.
UDC:
517.54
MSC: 30C20
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