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

Valentin V. Andreev | Zendy; Dale Daniel | Zendy; Timothy H. McNicholl | Zendy

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

Author(s) -

Valentin V. Andreev,

Dale Daniel,

Timothy H. McNicholl

Publication year - 2008

Publication title -

electronic notes in theoretical computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.242

H-Index - 60

ISSN - 1571-0661

DOI - 10.1016/j.entcs.2008.12.012

Subject(s) - conformal map , meromorphic function , computation , complex plane , plane (geometry) , mathematics , computer science , extremal length , algebra over a field , topology (electrical circuits) , theoretical computer science , pure mathematics , algorithm , conformal field theory , geometry , mathematical analysis , combinatorics

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

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