On estimating some initial inverse coefficients for meromorphic univalent functions omitting a disc.
On extremal mappings in complex ellipsoids
Using a generalization of [Pol] we present a description of complex geodesics in arbitrary complex ellipsoids.
On extremal problems related to inverse balayage.
On Extreme Bloch Functions with Prescribed Critical Points.
On Extreme Points of Families of Analytic Functions with Values in a Convex Set.
On finding the largest root of a polynomial
On folding solutions of the Beltrami equation.
On functions satisfying more than one equation of Schiffer type
The paper concerns properties of holomorphic functions satisfying more than one equation of Schiffer type (-equation). Such equations are satisfied, in particular, by functions that are extremal (in various classes of univalent functions) with respect to functionals depending on a finite number of coefficients.
On generalized Pascu class of functions
On generators in ideals of entire functions of finite order and type on the plane.
On geometric convergence of discrete groups
One of the basic questions in the Kleinian group theory is to understand both algebraic and geometric limiting behavior of sequences of discrete subgroups. In this paper we consider the geometric convergence in the setting of the isometric group of the real or complex hyperbolic space. It is known that if is a non-elementary finitely generated group and a sequence of discrete and faithful representations, then the geometric limit of is a discrete subgroup of . We generalize this result by...
On geometrical properties of free boundaries in the Hele-Shaw flow moving boundary problem.
On growth of polynomials.
On H. Weyl and H. Minkowski polynomials.
On harmonic functions constructed by the Hadamard product.
On harmonic functions defined by derivative operator.
On harmonic quasiconformal quasi-isometries.
On harmonic univalent functions defined by a generalized Ruscheweyh derivatives operator.
On Hölder regularity for elliptic equations of non-divergence type in the plane
This paper is concerned with strong solutions of uniformly elliptic equations of non-divergence type in the plane. First, we use the notion of quasiregular gradient mappings to improve Morrey’s theorem on the Hölder continuity of gradients of solutions. Then we show that the Gilbarg-Serrin equation does not produce the optimal Hölder exponent in the considered class of equations. Finally, we propose a conjecture for the best possible exponent and prove it under an additional restriction.
On holomorphic functions with certain extremal properties of its absolute values.