2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68560The 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.22 pages, AmsTex, Corrected typosComplex VariablesMathematical Physics30D30; 37K10text