On slanted and triangular sums of Grunsky coefficients with applications to Bloch and Schwarzian coefficients (Q1323905)

The author considers functions \(g(z)= z+\sum^ \infty_{n=0} b_ n z^{-n}\) that are univalent in \(\{| z|> 1\}\) and combinations of their Grunsky coefficients. He applies his results, in particular, to \(\log g'(z)= \sum^ \infty_{n=2} c_ n z^{-n}\) and shows \[ | c_ n|< \pi,\;\left| \sum^{m+1}_{n=2} (m+ 2- n) c_ n z^{-n}\right|\leq \sum^ m_{n=1} {m+ 1-n\over n} | z|^{-2n}. \] {}.