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Function that transforms (half) plane to annulus

  1. Apr 17, 2012 #1
    Hey all,

    I am looking for a complex function that conformally transforms a part of the plane (don't really care which part, as long as it's a polygon (even with infinite sides)) to an annulus (that is, a disk with a hole in the middle). My books on complex analysis conveniently skip it, but I'm pretty sure it must exist. Does anyone know of such a function??
  2. jcsd
  3. Apr 17, 2012 #2
    Nevermind, found it :tongue:

    In case another person is interested, it's exp(z), but the size of the domain must be 2*pi, otherwise the domain overlaps with itself :grumpy:
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