Category:Zero Simple Staircase Integral Condition for Primitive

This category contains pages concerning Zero Simple Staircase Integral Condition for Primitive:

Let $f: D \to \C$ be a continuous complex function, where $D$ is a connected domain.

Let $\ds \oint_C \map f z \rd z = 0$ for all simple closed staircase contours $C$ in $D$.

Then $f$ has a primitive $F: D \to \C$.