Skip to main content
Presentation
Technical Report: Computation on the Extended Complex Plane and Conformal Mapping of Multiply-connected Domains
Proceedings of the Fifth International Conference on Computability and Complexity in Analysis (CCA 2008) (2008)
  • Timothy H. McNicholl, Lamar University
  • Dale Daniel, Lamar University
  • Valentin V. Andreev, Lamar University
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 Möbius transformations, boundaries of multiply connected domains, and conformal mapping of multiply connected domains are considered.
Keywords
  • Computable analysis,
  • conformal mapping,
  • Type-Two Effectivity
Publication Date
2008
Location
Hagen, Germany
DOI
10.1016/j.entcs.2008.12.012
Comments
This proceeding is published as Andreev, Valentin V., Dale Daniel, and Timothy H. McNicholl. "Technical report: Computation on the extended complex plane and conformal mapping of multiply-connected domains." Electronic Notes in Theoretical Computer Science 221 (2008): 127-139.

Copyright © 2008 Elsevier B.V.
Citation Information
Timothy H. McNicholl, Dale Daniel and Valentin V. Andreev. "Technical Report: Computation on the Extended Complex Plane and Conformal Mapping of Multiply-connected Domains" Proceedings of the Fifth International Conference on Computability and Complexity in Analysis (CCA 2008) (2008)
Available at: http://works.bepress.com/timothy-mcnicholl/28/
Creative Commons License
Creative Commons License
This work is licensed under a Creative Commons CC_BY-NC-ND International License.