4 papers
Collinearity of points on Poincaré unit disk and Riemann sphere
Masayo Fujimura, Oona Rainio, Matti Vuorinen
We study certain points significant for the hyperbolic geometry of the unit disk. We give explicit formulas for the intersection points of the Euclidean lines and the stereographic…
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…
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…
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…