Definition:Dot Product/Complex

Definition
Let $z_1 := x_1 + i y_1$ and $z_2 := x_2 + i y_2$ be complex numbers.

Also known as
The dot product is also known as the scalar product.

The notation varies. Some sources use $\circ$, some use $\cdot$, some use $\bullet$.

Also see

 * Equivalence of Definitions of Complex Dot Product