Some integral equations related to the Ahlfors map for multiply connected regions
The Ahlfors map of an n–connected region is a branched n–to–one map from the region onto the unit disk. In this paper we derived new boundary integral equations for Ahlfors map of bounded multiply connected regions. One of them has the potential to be useful in computing the zeros of Ahlfors map. Th...
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| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Published: |
2015
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/60846/ https://sites.google.com/site/iaceuum/ |
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| Institution: | Universiti Teknologi Malaysia |
| Summary: | The Ahlfors map of an n–connected region is a branched n–to–one map from the region onto the unit disk. In this paper we derived new boundary integral equations for Ahlfors map of bounded multiply connected regions. One of them has the potential to be useful in computing the zeros of Ahlfors map. The kernels of these boundary integral equations are the generalized Neumann kernel, adjoint Neumann kernel, Neumann-type kernel and Kerzman-Stein kernel. These integral equations are constructed from a non-homogeneous boundary relationship satisfied by an analytic function on multiply connected regions. |
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