Abstract
Let H(\( \left( \mathbb{D} \right)\)) denote the set of functions holomorphic in the unit disk \( \mathbb{D} \subset \mathbb{C}.\) The theorem of Bloch, [Bh] from 1925, asserts existence of an absolute constant B such that for each \( f \in H\left( \mathbb{D} \right)\) there is a disk of radius \(B|f'\left( 0 \right)| \) which is the one-one image under f of some subdomain of \( \left( \mathbb{D} \right)\) Such a disk is called a “schlicht disk” for f. The best, i.e., largest, value of B is called Bloch’s constant.
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