Complex exponential function
= Complex exponential function
{title2=$e^z$}
The complex exponential is the entire function
$$
e^z=\sum_{n=0}^{\infty}\frac{z^n}{n!}.
$$
It maps $\mathbb C$ onto $\mathbb C^*$ and has kernel $2\pi i\mathbb Z$.
= Complex exponential function
{title2=$e^z$}
The complex exponential is the entire function
$$
e^z=\sum_{n=0}^{\infty}\frac{z^n}{n!}.
$$
It maps $\mathbb C$ onto $\mathbb C^*$ and has kernel $2\pi i\mathbb Z$.