Elliptic integrals and the Schwarz-Christoffel transformation
type: Item
instance of: scholarly article
title: Elliptic integrals and the Schwarz-Christoffel transformation
zbMATH Open document ID: 0887.65020
DOI: 10.1016/S0898-1221(97)00091-6
author: W. C. Hassenpflug
publication date: 1998-04-27T00:00:00Z
review text: Several aspects of the elliptic integrals in connection with the Schwarz-Christoffel transformation are discussed. An important aspect is the numerical computation of the real elliptic integrals by using series expansions. More complicated complex integrals are also considered. Many details on many aspects of the Schwarz-Christoffel transformation are given. Examples of several polygon mappings are presented graphically, and compared with previous numerically integrated solutions. Remarks: The paper is an important source for polygon conformal mappings. No reference is given to the very efficient real and complex algorithms for computing elliptic integrals of all kinds, as developed by Carlson. See for example \textit{B. C. Carlson} [Numer. Algorithms 10, No. 1-2, 13-26 (1995; Zbl 0827.65024)].
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 30C30
Mathematics Subject Classification ID: 33E05
zbMATH DE Number: 1067174
zbMATH Keywords: elliptic integrals
zbMATH Keywords: Schwarz-Christoffel transformation
zbMATH Keywords: conformal mappings
zbMATH Keywords: numerical computation
zbMATH Keywords: series expansions
reviewed by: Nico M. Temme
describes a project that uses: Schwarz-Christoffel
describes a project that uses: SCPACK
describes a project that uses: SC Toolbox
MaRDI profile type: Publication
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1067174