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Mar 27, 2013 at 16:29 vote accept Alexandre Eremenko
Mar 27, 2013 at 15:33 answer added Alexandre Eremenko timeline score: 2
Feb 17, 2013 at 13:04 history edited user9072
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Feb 3, 2013 at 6:28 answer added Matti Vuorinen timeline score: 2
Oct 7, 2012 at 14:10 comment added Alexandre Eremenko Richard, I know the literature, at least the classical books. This is probably the simplest problem on conformal mapping where there is no explicit solution. You can look in my preprint arXiv:1110.2696, where I wrote all I know abut this, and computed the thing numerically.
Oct 7, 2012 at 14:06 comment added Alexandre Eremenko Jeremy, you are right, I consider an ideal hyperbolic quasrilateral, and I made a correction in my description.
Oct 7, 2012 at 3:09 comment added Autumn Kent See also mathoverflow.net/questions/46102/…
Oct 7, 2012 at 3:08 comment added Autumn Kent Alexandre, have you looked at Chapter V of Nehari's book Conformal Mapping? He considers the general problem of finding the "Schwarz-Christoffel" mapping for hyperbolic polygons. It's complicated in general, but in your case, you should be able to write it down.
Oct 7, 2012 at 2:26 history edited Alexandre Eremenko CC BY-SA 3.0
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Oct 7, 2012 at 1:13 comment added Jeremy Kahn Alexandre, do you mean to say that $D$ is an ideal hyperbolic quadrilateral in the Poincare disk? (In other words, the arcs of $D$ are orthogonal to the unit circle). Otherwise, there is another parameter needed to define $D$, namely the angle that the arcs of $D$ make with the unit circle.
Oct 3, 2012 at 0:28 history asked Alexandre Eremenko CC BY-SA 3.0