On support points of univalent functions and a disproof of a conjecture of Bombieri

Richard Greiner, Oliver Roth
2001 Proceedings of the American Mathematical Society  
We consider the linear functional Re(a 3 + λa 2 ) for λ ∈ iR on the set of normalized univalent functions in the unit disk and use the result to disprove a conjecture of Bombieri.
doi:10.1090/s0002-9939-01-05994-9 fatcat:hf6qkkvrgvhyrbvu5rx4uscvt4