Optimal control in Bombieri's and Tammi's conjectures

Dmitri Prokhorov, Alexander Vasil'ev

Let $S$ stand for the usual class of univalent regular functions in the unit disk $U=\{z:|z|<1\}$ normalized by $f(z)=z+a_2{z}^2+...$ in $U$, and let $S^M$ be its subclass defined b…