Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898094 | Physica D: Nonlinear Phenomena | 2007 | 8 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Darren G. Crowdy, Jonathan S. Marshall,