Quartz sync: May 27, 2025, 9:30 AM

2025-05-27 09:30:24 +02:00 · 2025-05-27 09:30:24 +02:00 · 16a455fa30
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 # Question
 Holomorphic functions and their properties.
 # Answer
+A [[Holomorphic|holomorphic]] is a function $f : D \to \mathbb{C}$ with a domain $D$.
+
+It is **holomorphic** at $z_{0}$ if $f$ is [[Differentiable|differentiable]] in an open disk (entered at $z_{0}$).
+
+> [!info] Complex differentiable
+> It is differentiable if the following limit exists:
+> $$\lim_{ \Delta z \to \infty } \frac{f(z+\Delta z) - f(z)}{\Delta z}$$
+