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math.CVSep 5, 2011
14
citations (OpenAlex)
authors
  • Andrei B. Bogatyrev
arXiv abstractPDF
paper

Conformal mapping of rectangular heptagons

arXiv:1109.0888 · doi:10.1070/SM2012v203n12ABEH004284

Abstract

We propose an analytical approach to the conformal mapping of (rectangular) polygons based on the theory of Riemann surfaces and theta functions.

Cited by in corpus (4)

  • Conformal mapping of rectangular heptagons II
  • Image of Abel-Jacobi map for hyperelliptic genus 3 and 4 curves
  • Water flow under rectangular dam
  • On the solution of a conformal mapping problem by means of Weierstrass functions
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