A D4881: Complex function $f : \mathbb{R}^N \to \mathbb{C}$ is a conjugate-odd complex function if and only if
\begin{equation}
\forall \, x \in \mathbb{R}^N :
f(-x)
= - \overline{f(x)}
\end{equation}
A D4881: Complex function $f : \mathbb{R}^N \to \mathbb{R}^2$ is a conjugate-odd complex function if and only if
\begin{equation}
\forall \, x \in \mathbb{R}^N :
f(-x)
= - \overline{f(x)}
\end{equation}