42 citations · 107 across the 12 of their papers we have counts for
12 papers
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 cyclic quadrilaterals in euclidean and hyperbolic geometries
Gendi Wang, Matti Vuorinen, Xiaohui Zhang
Four points ordered in the positive order on the unit circle determine the vertices of a quadrilateral, which is considered either as a euclidean or as a hyperbolic quadrilateral d…
Some remarks on the Cassinian metric
Parisa Hariri, Riku Klen, Matti Vuorinen +1
Some sharp inequalities between the triangular ratio metric and the Cassinian metric are proved in the unit ball.
Geometry of the Cassinian metric and its inner metric
Zair Ibragimov, Manas Ranjan Mohapatra, Swadesh Kumar Sahoo +1
The Cassinian metric and its inner metric have been studied for subdomains of the -dimensional Euclidean space () by the first named author. In this paper…
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…
Inequalities and bilipschitz conditions for triangular ratio metric
Parisa Hariri, Matti Vuorinen, Xiaohui Zhang
Let be a domain and let and be two metrics on . We compare the geometries defined by the two metrics to each other for several pairs of m…