A1 Refereed original research article in a scientific journal
On conformal moduli of polygonal quadrilaterals
Authors: Dubinin V., Vuorinen M.
Publication year: 2009
Journal: Israel Journal of Mathematics
Journal name in source: Israel Journal of Mathematics
Volume: 171
Issue: 1
First page : 111
Last page: 125
Number of pages: 15
ISSN: 0021-2172
DOI: https://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.
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.