Diameter problems for univalent functions with quasiconformal extension.
Deiermann, Paul (1993)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Topological aspects of conformal mapping theory”
Diameter problems for univalent functions with quasiconformal extension.
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The conformal mapping ω(z) of a domain D onto the unit disc must satisfy the condition |ω(t)| = 1 on ∂D, the boundary of D. The last condition can be considered as a Dirichlet problem for the domain D. In the present paper this problem is reduced to a system of functional equations when ∂D is a circular polygon with zero angles. The mapping is given in terms of a Poincaré series.