6 citations · 8 across the 8 of their papers we have counts for
9 papers
One-parameter families of conformal mappings of the half-plane onto polygonal domains with several slits
A. Posadskii, S. Nasyrov
Among various methods of finding accessory parameters in the Schwarz-Christoffel integrals, Kufarev's method, based on the Loewner differential equation, plays an important role. I…
Asymptotics of the conformal modulus of a nonsymmetric unbounded doubly-connected domain under stretching
Giang V. Nguyen, Semen R. Nasyrov
We describe the asymptotic behavior of the conformal modulus of an unbounded doubly-connected domain, non-symmetric with respect to the coordinate axes, when stretched in the direc…
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\,/\…
On Bloch seminorm of finite Blaschke products in the unit disk
Anton D. Baranov, Ilgiz R. Kayumov, Semen R. Nasyrov
We prove that, for any finite Blaschke product in the unit disk, the corresponding Riemann surface over the --plane contains a one-sheeted disk of the radius . Mor…
Metrics and quasimetrics induced by point pair function
Dina Dautova, Semen Nasyrov, Oona Rainio +1
We study the point pair function in subdomains of . We prove that, for every domain , the this function is a quasi-metric with the consta…
Moduli of quadrilaterals and quasiconformal reflection
Semen Nasyrov, Toshiyuki Sugawa, Matti Vuorinen
We study the interior and exterior moduli of polygonal quadrilaterals. The main result is a formula for a conformal mapping of the upper half plane onto the exterior of a convex po…
Conformal Moduli of Symmetric Circular Quadrilaterals With Cusps
Harri Hakula, Semen Nasyrov, Matti Vuorinen
We investigate moduli of planar circular quadrilaterals symmetric with respect to both the coordinate axes. First we develop an analytic approach which reduces this problem to ODEs…
Riemann-Schwarz Reflection Principle and Asymptotics of Modules of Rectangular Frames
Semen R. Nasyrov
We investigate asymptotical behavior of the conformal module of a doubly-connected domain which is the difference of two homothetic rectangles under stretching it along the absciss…