42 citations · 107 across the 12 of their papers we have counts for
4 papers · 1 filter
Circular arc polygons, numerical conformal mappings, and moduli of quadrilaterals
Mohamed Nasser, Oona Rainio, Antti Rasila +4
We study numerical conformal mappings of planar Jordan domains with boundaries consisting of finitely many circular arcs and compute the moduli of quadrilaterals for these domains.…
On isometries of conformally invariant metric
Riku Klén, Matti Vuorinen, Xiaohui Zhang
We prove that isometries in a conformally invariant metric of a general domain are quasiconformal. In the particular case of the punctured space, we prove that isometries in this m…
Distortion of quasiconformal mappings with identity boundary values
Matti Vuorinen, Xiaohui Zhang
Teichmüller's classical mapping problem for plane domains concerns finding a lower bound for the maximal dilatation of a quasiconformal homeomorphism which holds the boundary point…
Quasihyperbolic metric and Möbius transformations
Riku Klén, Matti Vuorinen, Xiaohui Zhang
An improved version of quasiinvariance property of the quasihyperbolic metric under Möbius transformations of the unit ball in is given. Next, a quasiinva…