Article ID Journal Published Year Pages File Type
1898094 Physica D: Nonlinear Phenomena 2007 8 Pages PDF
Abstract
This paper proposes a new method for uniformizing the boundaries of multiply connected quadrature domains by means of conformal maps that are automorphic functions invariant under the action of a Schottky group that is a Fuchsian group of the second kind. The conformal maps are expressed as ratios of Schottky-Klein prime functions. The result is significant because a classical infinite product formula for the Schottky-Klein prime function associated with Fuchsian groups of the second kind is known to be convergent.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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