Let $z \mapsto \overline{z}$ be the D734: Complex conjugation operation.
A D4881: Complex function $f : X \times Y \to \mathbb{C}$ is conjugate symmetric if and only if
\begin{equation}
\forall \, x \in X :
\forall \, y \in Y :
f(x, y)
= \overline{f(y, x)}
\end{equation}