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Published online by Cambridge University Press: 09 April 2009
Let be the class of normalized univalent functions in the unit disk. For f ∈
let Sf be the set of all star center points of f. Let
0 =
where
is the interior of Sf. The influence that the size of the set
has on the Taylor coefficients of a function f ∈
0 is examined, and estimates of these coefficients depending only on
, as well as other results, are obtained.