Abstract
The Szegő kernel serves as one of the canonical functions associated to a region in the complex plane, and from it one can compute the Riemann (or Ahlfors) map, the essentially unique conformal transformation of the region to the unit disc. We provide an elementary description of the method that Kerzman and Stein used to compute the Szegő kernel, and subsequently, the Riemann and Ahlfors maps. A description, too, is provided for a new tool that generates visual representations of these functions and is included with the open-source computer algebra system Sage.
Citation
Michael Bolt. Sarah Snoeyink. Ethan Van Andel. "Visual representation of the Riemann and Ahlfors maps via the Kerzman–Stein equation." Involve 3 (4) 405 - 420, 2010. https://doi.org/10.2140/involve.2010.3.405
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