Conformal mapping of C \ D* onto C \ (-1, 1) - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-05-25T13:24:52Z http://mathoverflow.net/feeds/question/45567 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/45567/conformal-mapping-of-c-d-onto-c-1-1 Conformal mapping of C \ D* onto C \ (-1, 1) george 2010-11-10T16:32:15Z 2010-11-12T18:41:05Z <p>Which is the concrete formula for the conformal mapping (normalized at infinity), acting from \$\mathbb C \backslash D^*\$ onto </p> <p>\$\mathbb C\backslash[-1, 1]\$?</p> <p>Here \$\mathbb C\$ denotes the set of all complex numbers and \$D^*\$ denotes the closed unit disk of the complex plane.</p> <p>Also, I would be interested in references containing many examples of such of conformal mappings, by replacing the interval \$[-1, 1]\$ with other various subsets of the complex plane.</p> <p>Thanks a lot.</p> http://mathoverflow.net/questions/45567/conformal-mapping-of-c-d-onto-c-1-1/45856#45856 Answer by george for Conformal mapping of C \ D* onto C \ (-1, 1) george 2010-11-12T18:41:05Z 2010-11-12T18:41:05Z <p>Finally I found that the conformal mapping is given by the formula f(z)=(1/2)(z + 1/z). Thanks any whay.</p>