Suppose $f(z)=c_1z+c_2z^2+\cdots+c_nz^n$ is a univalent map on the unit disk.
You may assume $c_1=1$. All coefficients are complex.
Is there a sharp bound on the last coefficient $c_n$? How about the other coefficients?
Suppose $f(z)=c_1z+c_2z^2+\cdots+c_nz^n$ is a univalent map on the unit disk.
You may assume $c_1=1$. All coefficients are complex.
Is there a sharp bound on the last coefficient $c_n$? How about the other coefficients?