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Maximum Principle for holomorphic functions:

let $f \colon G\to {\mathbb C}\ mathbb{C}$ $ be holomorphic and $z_0$ some interior point of $G$. By the Poisson-Formula, $f(z_0)$ is essentially the mean of values of $f$ on a circle around $z_0$. Thus, $|f(z_0)|$ is not maximal.

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Maximum Principle for holomorphic functions:

if

let $f \colon G\to \mathbb{C}$ be holomorphic and $z_0$ is some interior point of the domain of $f$, by G$. By the Poisson-Formula, $f(z_0)$ is essentially the mean of values of $f$ on a circle around $z_0$. Thus, $|f(z_0)|$ is not maximal.

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Maximum Principle for holomorphic functions:

if $z_0$ is some interior point of the domain of $f$, by the Poisson-Formula, $f(z_0)$ is essentially the mean of values of a circle around $z_0$. Thus, $|f(z_0)|$ is not maximal.