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1. CMB 2011 (vol 55 pp. 509)

Gauthier, P. M.; Nestoridis, V.
Domains of Injective Holomorphy
A domain $\Omega$ is called a domain of injective holomorphy if there exists an injective holomorphic function $f\colon \Omega\rightarrow\mathbb{C}$ that is non-extendable. We give examples of domains that are domains of injective holomorphy and others that are not. In particular, every regular domain $(\overline\Omega^o=\Omega)$ is a domain of injective holomorphy, and every simply connected domain is a domain of injective holomorphy as well.

Keywords:domains of holomorphy

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