I need to compute the analog of Chebyshev polynomials (which give the minimum deviation from zero on [-1,1]) on the given region $\Omega\subset \mathbb C$. More precisely: find $P_n$ such that $P_n(0)=1$ and $$ \max_{z\in\Omega}|P_n(z)|\to \min.$$
Any help and references are strongly appreciated.