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Sbornik: Mathematics, 2012, Volume 203, Issue 12, Pages 1715–1735
DOI: https://doi.org/10.1070/SM2012v203n12ABEH004284 (Mi sm8087) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Conformal mapping of rectangular heptagons

A. B. Bogatyrevabc

a Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow
b Moscow Institute of Physics and Technology
c M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (418 kB) Citations (18) Russian version article
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DOI: https://doi.org/10.1070/SM2012v203n12ABEH004284
Abstract: 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.
Keywords: Christoffel-Schwarz integral, Riemann surface, Jacobian, Siegel space, theta functions.
Received: 22.11.2011
Bibliographic databases:
Document Type: Article
UDC: 517.542+517.545
MSC: Primary 14H42, 30A24, 30A28; Secondary 14H15
Language: English
Original paper language: Russian
Citation: A. B. Bogatyrev, “Conformal mapping of rectangular heptagons”, Sb. Math., 203:12 (2012), 1715–1735
Citation in format AMSBIB
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    This publication is cited in the following 18 articles:
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:639
    Russian version PDF:333
    English version PDF:34
    References:53
    First page:23
     
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