Category:Bieberbach Conjecture

This category contains pages concerning Bieberbach Conjecture:

Let $f$ be a holomorphic complex function defined as:

$\forall z \in \C: \map f z = z + a_2 z^2 + a_3 z^3 + \cdots$

where the $a_n$ are complex.

Let $f$ be injective for $\size z < 1$.

Then:

$\forall n \ge 2: \size {a_n} \le n$