# What is the meaning of $\overline{G}$ in this context?

Given $G$ a bounded domain, $f,g$, entire functions on whole $\overline{G}$

What is the meaning of $\overline{G}$? Is it the complement to the inside of the bounded domain?

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I expect that it’s the closure of $G$. –  Brian M. Scott Sep 13 '12 at 2:18
Where did you read it? –  Jonas Meyer Sep 13 '12 at 2:20
What is the closure of G? I read it in German from an old exam sheet. –  bakabakabaka Sep 13 '12 at 2:21
The closure is the smallest closed set containing $G$, which equals $G$ unioned with the set of limit points of $G$. en.wikipedia.org/wiki/Closure_(topology%29 –  Jonas Meyer Sep 13 '12 at 2:22
The all limit points of G dont they form $\partial G$ ? So $\overline{G} = G\cup \partial G$ ? –  bakabakabaka Sep 13 '12 at 2:26