Es sei ${\displaystyle {}U\subseteq \mathbb {C} ^{n}}$ offen und

${\displaystyle \varphi \colon U\longrightarrow \mathbb {C} ^{m}}$

eine in ${\displaystyle {}P\in \mathbb {C} }$ total differenzierbare Abbildung.

${\displaystyle {}\varphi }$

${\displaystyle {}U\subseteq \mathbb {R} ^{2n}}$

${\displaystyle {}\mathbb {R} ^{2m}}$

${\displaystyle {}P}$