Abstract

Univalent functions: elementary properties of univalent functions Subclasses of univalent functions in the unit disc The Loewner theory Bloch functions and the Bloch constant Linear invariance in the unit disc Univalent mappings in several complex variables and complex Banach spaces Univalence in several complex variables Growth, covering and distortion results for starlike and convex mappings in Cn and complex Banach spaces Loewner chains in several complex variables Bloch constant problems in several complex variables Linear invariance in several complex variables Univalent mappings and the Roper-Suffridge extension operator.

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