Definition:Primitive (Calculus)/Complex

Definition
Let $F: D \to \C$ be a complex function which is complex-differentiable on a connected domain $D$.

Let $f: D \to \C$ be a continuous complex function.

Suppose that:
 * $\forall z \in D: F^{\prime} \left({z}\right) = f \left({z}\right)$

where $F^{\prime}$ signifies the derivative of $F$.

Then $F$ is known as a primitive (or an antiderivative) of $f$.