On one application of differential subordinations
On products of starlike functions. I
We deal with functions given by the formula where are starlike of order and are complex constants. In particular, radii of starlikeness and convexity as well as orders of starlikeness and convexity are found.
On -homeomorphisms.
On quasiconformal mappings of open Riemann surfaces.
On quasiconformal reflection. (Zur quasikonformen Spiegelung.)
On some extremal problems in classes of holomorphic functions
On some extremal problems in classes of holomorphic functions , , , at additional condition
On the capacity of a plane condenser and conformal mapping.
On the class of functions strongly starlike of order α with respect to a point
We consider the class 𝓩(k;w), k ∈ [0,2], w ∈ ℂ, of plane domains Ω called k-starlike with respect to the point w. An analytic characterization of regular and univalent functions f such that f(U) is in 𝓩(k;w), where w ∈ f(U), is presented. In particular, for k = 0 we obtain the well known analytic condition for a function f to be starlike w.r.t. w, i.e. to be regular and univalent in U and have f(U) starlike w.r.t. w ∈ f(U).
On The Convex Sum Of Certain Univalent Functions And The Identity Function.
On the convolution of analytic functions.
On the existence of Jenkins-Strebel differentials using harmonic maps from surfaces to graphs.
On the approximation of by Re for analytic functions.
On the maximum value for Zygmund class on an interval.
On the univalent, bounded, non-vanishing and symmetric functions in the unit disk
The paper is devoted to a class of functions analytic, univalent, bounded and non-vanishing in the unit disk and in addition, symmetric with respect to the real axis. Variational formulas are derived and, as applications, estimates are given of the first and second coefficients in the considered class of functions.
On typical-real functions
On Univalent Functions, Bloch Functions and VMOA.
On univalent p-symmetric functions in the unit disc