We consider a family of functions which have a pole of order m and a logarithmic term at the infinity and generalize univalent convex functions defined in the exterior of the unit disc. We prove sharp estimates for the ...
An approximate method for finding the polynomial uniformizing a given Riemann surface is proposed. The method is based on joining this surface with another surface by a smooth curve in the space of branched coverings of ...
We consider Fuchsian groups of linear-fractional transformations such that each vertex of the fundamental polygon is common for an even or infinite number of fundamental congruent polygons meeting at this point. The whole ...
On an arbitrary (in general, noncompact) Riemann surface R, we study integral operators T and II analogous to the operators introduced by Vekua in his theory of generalized analytic functions. By way of application, we ...
В статье обсуждается ранее практически не рассматривавшаяся векторная краевая
задача линейного сопряжения (векторная задача Римана) на римановой поверхности.
Показано, что любую векторную краевую задачу Римана на римановой ...