A1 Refereed original research article in a scientific journal

On conformal moduli of polygonal quadrilaterals




AuthorsDubinin V., Vuorinen M.

Publication year2009

JournalIsrael Journal of Mathematics

Journal name in sourceIsrael Journal of Mathematics

Volume171

Issue1

First page 111

Last page125

Number of pages15

ISSN0021-2172

DOIhttps://doi.org/10.1007/s11856-009-0043-8

Web address http://api.elsevier.com/content/abstract/scopus_id:77749319340


Abstract
The change of conformal moduli of polygonal quadrilaterals under some geometric transformations is studied. We consider the motion of one vertex when the other vertices remain fixed, the rotation of sides, polarization, symmetrization, and averaging transformation of the quadrilaterals. Some open problems are formulated. © 2009 Hebrew University Magnes Press.



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