As it's known , an holomorphic($\neq constant$) function $f:G\subseteq\mathbb{C}\rightarrow \mathbb{C}$ has maximum modulus on $\partial G$ . I wuold an example of a function holomorphic on a disk centered in the origin that take its maximum modulus in a complex number with non zero immaginary part.
2026-04-12 15:58:42.1776009522
Example of maximum modulus principle
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