33 citations · 140 across the 29 of their papers we have counts for
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Uniformly perfect sets, Hausdorff dimension, and conformal capacity
Oona Rainio, Toshiyuki Sugawa, Matti Vuorinen
Using the definition of uniformly perfect sets in terms of convergent sequences, we apply lower bounds for the Hausdorff content of a uniformly perfect subset of …
Conformally invariant metrics and lack of Hölder continuity
Rahim Kargar, Oona Rainio
The modulus metric between two points in a subdomain of is defined in terms of moduli of curve families joining the boundary of the domain with a continuum…
Landen transformations applied to approximation
Rahim Kargar, Oona Rainio, Matti Vuorinen
We study computational methods for the approximation of special functions recurrent in geometric function theory and quasiconformal mapping theory. The functions studied can be exp…
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.…
Intrinsic geometry and boundary structure of plane domains
Oona Rainio, Toshiyuki Sugawa, Matti Vuorinen
For a non-empty compact set in a proper subdomain of the complex plane, we denote the diameter of and the distance from to the boundary of by and $d(E,\p…