A distortion theorem for bounded univalent functions.
A note on solutions of Schiffer's differential equation.
A variational method for a class of odd functions in an annulus
A variational method for univalent functions connected with antigraphy
The paper is devoted to a class of functions analytic and univalent in the unit disk that are connected with an antigraphy . Variational formulas and Grunsky inequalities are derived. As an application there are given some estimations in the considered class of functions.
Accumulation constants of iterated function systems with Bloch target domains.
Admissible variations and the local maximum theorems for pairs of vector functions and for generalized Bieberbach-Eilenberg, bounded and Grunsky-Shah functions
Amenability, Poincaré series and quasiconformal maps.
An application of differential subordinations, II
An extension of typically-real functions and associated orthogonal polynomials
Two-parameters extension of the family of typically-real functions is studied. The definition is obtained by the Stjeltjes integral formula. The kernel function in this definition serves as a generating function for some family of orthogonal polynomials generalizing Chebyshev polynomials of the second kind. The results of this paper concern the exact region of local univalence, bounds for the radius of univalence, the coefficient problems within the considered family as well as the basic properties...
An extremal problem for harmonic measure.
An isoperimetric inequality for logarithmic capacity.
Asymptotic estimates and properties of univalent functions with quasiconformal continuation.
Asymptotic estimates for the coefficients of bounded univalent functions.