On the reflection principle and some elementary ratios of conformal radii
type: Item
instance of: scholarly article
title: On the reflection principle and some elementary ratios of conformal radii
zbMATH Open document ID: 0566.30008
DOI: 10.1007/BF02790200
author: Joseph Hersch
published in: Journal d'Analyse Mathématique
publication date: 1985-01-01T00:00:00Z
review text: By very clever use of reflection methods and the introduction of the angular conformal radius of an \(\alpha\)-trilateral, the conformal radii of a large number of regions are explicitly given. For example, if Q is the unit square, \(z_ 0\) its center, and G is the L-shaped region obtained by reflecting Q to the right and above, the conformal radius r(G) of G with respect to \(z_ 0\) is \(\tau\) \(\cdot r(Q)\) with \(\tau =3(1-t^{2/3}+t^{4/3})/(1+t^{2/3}+t^{4/3})\) with \(t=\sqrt{2}-1\), i.e. \(\tau\) \(\sim 1.21179\).
reviewed by: Dieter Gaier
Mathematics Subject Classification ID: 30C35
Mathematics Subject Classification ID: 30C85
zbMATH DE Number: 3902976
zbMATH Keywords: conformal radius
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3902976