Conformal welding of Jordan curves using weighted Dirichlet spaces.
Convex functions and the rolling circle criterion.
Convolution and Quasiconformal Extension
Convolution properties of some classes of analytic functions
Convolution theorems for starlike and convex functions in the unit disc
Let A denote the space of all analytic functions in the unit disc Δ with the normalization f(0) = f’(0) − 1 = 0. For β < 1, let . For λ > 0, suppose that denotes any one of the following classes of functions: , , . The main purpose of this paper is to find conditions on λ and γ so that each f ∈ is in or , γ ∈ [0,1/2]. Here and respectively denote the class of all starlike functions of order γ and the class of all convex functions of order γ. As a consequence, we obtain a number...
Covering Theorems for Univalent Functions.
Criteria for univalence, starlikeness and convexity
Let 𝓐 denote the class of all normalized analytic functions f (f(0) = 0 = f'(0)-1) in the open unit disc Δ. For 0 < λ ≤ 1, define 𝓤(λ) = {f ∈ 𝓐 : |(z/f(z))²f'(z) - 1| < λ, z ∈ Δ} and 𝓟(2λ) = f ∈ 𝓐 : |(z/f(z))''| < 2λ, z ∈ Δ.cr Recently, the problem of finding the starlikeness of these classes has been considered by Obradović and Ponnusamy, and later by Obradović et al. In this paper, the authors consider the problem of finding the order...
Démonstration de la conjecture de Bieberbach
Derivatives of Close-to-Convex Functions, Integral means and Bounded Mean Oscillation.
Die Verteilung der schlichten Funktionen in einem Funktionenraum.
Dirichlet's Principle, Uniqueness of Harmonic Maps and Extremal QC Mappings
Distortion theorems for functions schlicht in an annulus.
Domain constants associated with Schwarzian derivative.
Eine Abschätzung für schlichte Funktionen.
Eine Bemerkung zum Koeffizientenproblem der schlichten Funktionen.
Eine partielle Differentialgleichung in Zusammenhang mit den schlichten Funktionen.
ERRATA: Inequalities associating hypergeometric functions with planar harmonic mappings.
Erratum to “Tchebotaröv’s extremal problem”
The original version of the article was published in Central European Journal of Mathematics, 2005, 3(4), 591–605. Unfortunately, the original version of this article contains a mistake. We give some corrections to our work.
Extension des Fonctions Plurisousharmoniques a Travers de "Petits" Sous-Ensembles
Extreme points and convolution properties of some classes of multivalent functions.