Towards an Effectivisation of the Riemann Theorem

Details Towards an Effectivisation of the Riemann Theorem Towards an Effectivisation of the Riemann Theorem

2003-09-14

arxiv.org/abs/math/0309228v2

Mathematics

Complex Variables

22 pages, AmsTex, Corrected typos

Scientific paper

The Riemann Theorem states, that for any nontrivial connected and simply
connected domain on the Riemann sphere there exists some its conformal
bijection to the exterior of the unit disk. In this paper we find an explicit
form of this map for a broad class of domains with analytic boundaries.

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