An inequality for complete elliptic integrals
type: Item
instance of: scholarly article
title: An inequality for complete elliptic integrals
zbMATH Open document ID: 0816.33011
author: Peter Duren
author: G. D. Anderson
author: M. K. Vamanamurthy
published in: Journal of Mathematical Analysis and Applications
publication date: 1995-07-13T00:00:00Z
review text: In [the second author and \textit{J. Pfaltzgraff}, J. Math. Anal. Appl. 179, No. 1,110-119 (1993; Zbl 0797.31009)] it has been proved that \[ c_ 1 m(Q)\leq \mu(Q)\leq c_ 2 m(Q), \] where \(\mu(Q)\), \(m(Q)\) denote, respectively, the Robin modulus, and the exterior modulus of the rectangle \(Q\), and \(c_ 1\), \(c_ 2\) are some positive absolute constants. In the present paper the best values of the constants are given.
reviewed by: Janusz Matkowski
Mathematics Subject Classification ID: 33E05
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 567013
zbMATH Keywords: extremal length
zbMATH Keywords: Robin capacity
MaRDI profile type: Publication
full work available at URL: jmaa.1994.1080
OpenAlex ID: W2086828436
DOI: 10.1006/JMAA.1994.1080
description: scientific article; zbMATH DE number 567013