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Functions convex and starlike in a half plane
In this paper we are concerned with some applications of the Clunie-Jack Lemma. It relates to functions convex and starlike in a half plane. We denote subclasses of all such functions convex and starlike by K( ƒ¿ ) and St( ƒ¿ ) respectively. MacGregor [4] found ƒÀ ( ƒ¿ ) such that K( ƒ¿ ) ¼St( ƒ¿ ). He pointed out that this starlikeness is an immediate consequence of subordination principle.
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