Quasiconformal extensions for some geometric subclasses of univalent functions.
Images of Disks under Convex and Starlike Functions.
Properties of Some Extremal Nonvanishing Univalent Functions.
Derivatives of Close-to-Convex Functions, Integral means and Bounded Mean Oscillation.
Integral transforms of functions with restricted derivatives
We show that functions whose derivatives lie in a half-plane are preserved under the Pommerenke, Chandra-Singh, Libera, Alexander and Bernardi integral transforms. We determine precisely how these transforms act on such functions. We prove that if the derivative of a function lies in a convex region then the derivative of its Pommerenke, Chandra-Singh, Libera, Alexander and Bernardi transforms lie in a strictly smaller convex region which can be determined. We also consider iterates of these transforms....
On the Zalcman Conjecture for Starlike and Typically Real Functions.
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