Conformal mapping of rectangular heptagons
Sbornik. Mathematics, Tome 203 (2012) no. 12, pp. 1715-1735

Voir la notice de l'article provenant de la source Math-Net.Ru

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, Siegel space, theta functions.
Mots-clés : Jacobian
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A. B. Bogatyrev. Conformal mapping of rectangular heptagons. Sbornik. Mathematics, Tome 203 (2012) no. 12, pp. 1715-1735. http://geodesic.mathdoc.fr/item/SM_2012_203_12_a2/