Technical Report: Computation on the Extended Complex Plane and Conformal Mapping of Multiply-connected Domains

Authors:
Valentin V. Andreev;Dale Daniel;Timothy H. McNicholl
Affiliations:
Department of Mathematics, Lamar University, Beaumont, Texas 77710 USA;Department of Mathematics, Lamar University, Beaumont, Texas 77710 USA;Department of Mathematics, Lamar University, Beaumont, Texas 77710 USA
Venue:
Electronic Notes in Theoretical Computer Science (ENTCS)
Year:
2008

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Abstract

We introduce a system for computation on the extended complex plane based on the Type-Two Effectivity approach to computable analysis. Included are computations on meromorphic functions, open sets, and closed sets. Applications to Mobius transformations, boundaries of multiply connected domains, and conformal mapping of multiply connected domains are considered.