Which is the concrete formula for the conformal mapping (normalized at infinity), acting from $\mathbb C \backslash D^*$ onto
$\mathbb C\backslash[-1, 1]$?
Here $\mathbb C$ denotes the set of all complex numbers and $D^*$ denotes the closed unit disk of the complex plane.
Also, I would be interested in references containing many examples of such of conformal mappings, by replacing the interval $[-1, 1]$ with other various subsets of the complex plane.
Thanks a lot.