De Branges's theorem

The Bieberbach conjecture is a mathematical theorem in the field of complex analysis about analytic functions. It was erected in 1916 by Ludwig Bieberbach conjecture and as demonstrated in 1985 by Louis de Branges de Bourcia and is therefore also called since set of de Branges.

The Bieberbach conjecture states that for an analytic and injective function

With,

The unit disc called, always

Applies to all.