Über die untere Grenze der Rundungsschranken der beschränkten Funktionen f (2), deren f (0) I vorgegeben ist.
Über eine Verallgemeinerung des Satzes von Schottky
Uniform Convergence on Compacta and Locally Univalent Analytic Functions of Finite Order.
Univalence criteria and surfaces in hyperbolic space.
Univalence criteria for classes of rectangles and equiangular hexagons.
Univalence of certain integral opertors.
Univalence of odd derivatives of even entire functions.
Univalence, strong starlikeness and integral transforms
Let represent the class of all normalized analytic functions f in the unit disc Δ. In the present work, we first obtain a necessary condition for convex functions in Δ. Conditions are established for a certain combination of functions to be starlike or convex in Δ. Also, using the Hadamard product as a tool, we obtain sufficient conditions for functions to be in the class of functions whose real part is positive. Moreover, we derive conditions on f and μ so that the non-linear integral transform...
Univalent functions and the Schwarzian derivative.
Univalent functions maximizing .
Univalent harmonic mappings
Let a < 0, Ω = ℂ -(-∞, a] and U = z: |z| < 1. We consider the class of functions f which are univalent, harmonic and sense preserving with f(U) = Ω and satisfy f(0) = 0, and . We describe the closure of and determine the extreme points of .
Univalent harmonic mappings convex in one direction.
Univalent harmonic mappings II
Let a < 0 < b and Ω(a,b) = ℂ - ((-∞, a] ∪ [b,+∞)) and U= z: |z| < 1. We consider the class of functions f which are univalent, harmonic and sense-preserving with f(U) = Ω and satisfying f(0) = 0, and .
Univalent mappings of the plane into itself
Valence and oscillation of functions in the unit disk.
Weakly starlike logharmonic mappings.
Weighted distortion in conformal mapping in Euclidean, hyperbolic and elliptic geometry.
Zum Schwarzschen Lemma.
Zur teilschlichten Konkretisierung Riemannscher Flächen.
Zur Theorie der schlichten Abbildungen.