Cartan-Thullen theorem for a \mathbb C^n-holomorphic function and a related problem

Cartan-Thullen theorem is a basic one in the theory of analytic functions of several complex variables. It states that for any open set U of {\mathbb C}^k, the following conditions are equivalent: (a) U is a domain of existence, (b) U is a domain of holomorphy and (c) U is... Show more