Distortion theorems for classes of univalent functions (Q2754521)

Some well known results on special classes functions are derived in the paper. For example [see \textit{G. Schober}, Univalent functions (1975; Zbl 0306.30018)] the \(n\)th derivative of convex function satisfies the following inequality NEWLINE\[NEWLINE|f^{(n)}(z)|\leq {n!\over (1-|z|)^{n+ 1}}NEWLINE\]NEWLINE for \(|z|< 1\), \(n= 2,3,\dots\)\ . In the case \(n=2\), the inequality is a main result of the paper.NEWLINENEWLINEFor the entire collection see [Zbl 0956.00027].