Ma–Minda class (of starlike functions) consists of normalized analytic functions $f$ $f$ defined on the unit disk for which the image of the function $z f^{'} (z) / f (z)$ is contained in some starlike region lying in the right-half plane. In this paper, we obtain the best possible bounds on some initial coefficients for the inverse functions of Ma–Minda starlike functions. Further, the bounds on the Fekete–Szegö functional and the second Hankel determinant are computed for such functions. In addition, some sharp radius estimates are also determined.

Communicated by A. Escassut

Keywords:

AMSC: 30C45, 30C50, 30C80

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