Conformal mapping of rectangular heptagons

被引：15

作者：

Bogatyrev, A. B. ^{[1
,2
,3
]}

机构：

[1] Russian Acad Sci, Inst Numer Math, Moscow 117901, Russia

[2] State Univ, Moscow Inst Phys & Technol, Moscow, Russia

[3] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow, Russia

来源：

SBORNIK MATHEMATICS | 2012年 / 203卷 / 12期

基金：

俄罗斯基础研究基金会;

关键词：

Christoffel-Schwarz integral; Riemann surface; Jacobian; Siegel space; theta functions; COMPACT RIEMANN SURFACE; THETA-FUNCTIONS; GENUS;

D O I：

10.1070/SM2012v203n12ABEH004284

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1715 / 1735

页数：21

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