Quasiconformal and harmonic mappings between smooth Jordan domains.
Radial growth of the derivative of univalent functions.
Randschlichte meromorphe Funktionen auf endlichen Riemannschen Flächen.
Real Koebe principle
We prove a version of the real Koebe principle for interval (or circle) maps with non-flat critical points.
Region of variability for functions with positive real part
For γ ∈ ℂ such that |γ| < π/2 and 0 ≤ β < 1, let denote the class of all analytic functions P in the unit disk with P(0) = 1 and in . For any fixed z₀ ∈ and λ ∈ ̅, we shall determine the region of variability for when P ranges over the class As a consequence, we present the region of variability for some subclasses of univalent functions. We also graphically illustrate the region of variability for several sets of parameters.
Regions of variability for bounded univalent functions and distortion theorems
Schlicht Holomorphic Functions an the Riccati Differntial Equation.
Schlichte Funktionen im Einheitskreis, die einen Randbogen in einen Randbogen abbilden.
Schlichte Funktionen und analytische Funktionen von beschränkter mittlerer Oszillation.
Schlichtheitskriterien und Jordangebiete.
Schroeder's functions
Schwarzian derivatives, the Poincaré metric and the kernel function.
Some Distortion Theorems for Starlike Harmonic Functions
MSC 2010: 30C55, 30C45Distortion and growth theorems are obtained.
Some Extremal Problems for Functions Univalent in an Annulus.
Some Growth and Distortion Theorems for Close-to-Convex Harmonic Functions in the Unit Disc
MSC 2010: 30C45, 30C55One of the most important questions in the study of the classes of such functions is related to bounds on the modulus of functions (growth) or modulus of the derivative (distortion). The aim of this paper is to give the growth and distortion theorems for the close-to-convex harmonic functions in the open unit disc D.
Some inequalities in the theory of functions.
Subclasses of close-to-convex functions.
Subordination Chains and Univalence of Holomorphic Mappings in Cn.
Sufficient conditions for quasiconformality of harmonic mappings of the upper halfplane onto itself
In this paper we introduce a class of increasing homeomorphic self-mappings of R. We define a harmonic extension of such functions to the upper halfplane by means of the Poisson integral. Our main results give some sufficient conditions for quasiconformality of the extension.
Sufficient conditions for spiral-likeness.