251 citations · 827 across the 103 of their papers we have counts for
5 papers · 2 filters
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…
Level sets of potential functions bisecting unbounded quadrilaterals
Mohamed M. S. Nasser, Semen Nasyrov, Matti Vuorinen
We study the mixed Dirichlet-Neumann problem for the Laplace equation in the complement of a bounded convex polygonal quadrilateral in the extended complex plane. The Dirichlet\,/\…
Conformal capacity of hedgehogs
Dimitrios Betsakos, Alexander Solynin, Matti Vuorinen
In this paper we discuss problems concerning the conformal condenser capacity of "hedgehogs", which are compact sets in the unit disk consisting of a…
Numerical computation of a preimage domain for an infinite strip with rectilinear slits
El Mostafa Kalmoun, Mohamed M. S. Nasser, Matti Vuorinen
Let be the multiply connected domain in the extended complex plane $\overline{\C}$ obtained by removing non-overlapping rectilinear segments from the infinite strip $S=\{z\…