Conformal mapping of rectangular heptagons

A new effective approach to calculating the direct and inverse conformal mapping of rectangular polygons onto a half-plane is put forward; it is based on the use of Riemann theta functions. Bibliography: 14 titles.

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Bibliographic Details
Published in:Sbornik. Mathematics 2012-12, Vol.203 (12), p.1715-1735
Main Author: Bogatyrev, Andrei B
Format: Article
Language:English
Subjects:
CONFORMAL MAPPING
MATHEMATICAL METHODS AND COMPUTING
RECTANGULAR CONFIGURATION
RIEMANN FUNCTION
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Summary:A new effective approach to calculating the direct and inverse conformal mapping of rectangular polygons onto a half-plane is put forward; it is based on the use of Riemann theta functions. Bibliography: 14 titles.
ISSN:1064-5616
1468-4802
DOI:10.1070/SM2012v203n12ABEH004284