The growth theorem for strongly starlike mappings of order \(\alpha\) on bounded starlike circular domains (Q2732193)

A Koebe's type distortion theorem is proved for a certain class of starlike mappings on bounded circular starlike domains in \(\mathbb{C}^n\).NEWLINENEWLINENEWLINEThere are numerous misprints in the paper. In particular, in Theorem 2, relation (2) should be read as NEWLINE\[NEWLINE\rho(z) \exp\int_0^{\rho(z)} \left[ \left( {1-t\over 1+t} \right)^\alpha- 1\right]{dt\over t}\leq\rho \bigl(f(z) \bigr) \leq\rho(z) \exp\int_0^{\rho(z)} \left[\left({1+t \over 1-t}\right)^\alpha -1\right] {dt\over t},NEWLINE\]NEWLINE and the value \(r(\alpha)\) as NEWLINE\[NEWLINEr(\alpha) =\exp \int^1_0 \left[\left({1-t \over 1+t}\right)^\alpha-1 \right]{dt\over t}.NEWLINE\]