Point systems with extremal properties and conformal mapping (Q1109167)

Let \({\mathbb{D}}\) be the unit disk, let D be a region in \({\mathbb{D}}\) bounded by the unit circle and a Jordan curve \(\gamma\), where \(0\not\in D\), and \(\gamma\) is piecewise analytic without cusps. Let \(\phi\) be the conformal mapping of \(\{\rho <| w| <1\}\) onto D with \(\phi (1)=1\). Here \(\phi\) is approximated by interpolation with finite Laurent series using point systems with extremal properties. Numerical results for four examples are given.