251 citations · 827 across the 103 of their papers we have counts for
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Fast computation of analytic capacity
Mohamed M S Nasser, Christopher C. Green, Matti Vuorinen
A boundary integral equation method is presented for fast computation of the analytic capacities of compact sets in the complex plane. The method is based on using the Kerzman--Ste…
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 …
Formulas for the visual angle metric
Masayo Fujimura, Rahim Kargar, Matti Vuorinen
We prove several new formulas for the visual angle metric of the unit disk in terms of the hyperbolic metric and apply these to prove a sharp Schwarz lemma for the visual angle met…
Mobile disks in hyperbolic space and minimization of conformal capacity
Harri Hakula, Mohamed M. S. Nasser, Matti Vuorinen
Our focus is to study constellations of disjoint disks in the hyperbolic space, the unit disk equipped with the hyperbolic metric. Each constellation corresponds to a set which…
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…
Intrinsic metrics in polygonal domains
D. Dautova, R. Kargar, S. Nasyrov +1
We study inequalities between the hyperbolic metric and intrinsic metrics in convex polygonal domains in the complex plane. Special attention is paid to the triangular ratio metric…