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Published online by Cambridge University Press: 20 November 2018
Let denote the class of functions f(z) = z +
that are analytic and univalent in
and
will denote the collection of f ∈
that map U onto a domain that is respectively starlike with respect to the origin and convex.
In [4, p. 85] Hayman used Steiner symmetrization to solve a problem, a special case of which is the following.