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Let $U \subset \mathbb{C}$ be a connected open set and let $f: U \rightarrow \mathbb{C}$ be holomorphic. Let $\mathbb{Z} = \big\{z \in U: f(z) = 0 \big\}.$ If there are a $z_{o} \in \mathbb{Z}$ and $\big\{z_{j}\big\}_{j=1}^{\infty} \subset \mathbb{Z} \backslash \big\{z_{o}}\big}$ such that $z_{j} \rightarrow z_{o}$
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Thu, 18 Jan 2018 01:59 GMT