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Starlike and convexity properties for p-valent
R. M. El-Ashwah, M. K. Aouf and A. O. Moustafa
Received: November 11, 2008; Accepted: May 6, 2009
Abstract. Given the hypergeometric function
we place conditions on a, b and c to guarante that zpF(a, b; c; z) will be in various subclasses of p-valent starlike and p-valent convex functions. Operators related to the hypergeometric function are also examined.
Keywords: p-valent; starlike; convex; hypergeometric function.
AMS Subject classification: Primary: 30C45
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