On conformal moduli of polygonal quadrilaterals

: Dubinin V., Vuorinen M.

: 2009

: Israel Journal of Mathematics

: 171

: 1

: 111

: 125

: 15

: 0021-2172

DOI: https://doi.org/10.1007/s11856-009-0043-8

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

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.