ACTA MATHEMATICA
UNIVERSITATIS COMENIANAE



Vol. LXXIX, 1 (2010)
p. 55 - 64
Starlike and convexity properties for p-valent
hypergeometric functions

R. M. El-Ashwah, M. K. Aouf and A. O. Moustafa

Received: November 11, 2008;   Accepted: May 6, 2009


Abstract.   Given the hypergeometric function

formula

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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Acta Mathematica Universitatis Comenianae
ISSN 0862-9544   (Printed edition)

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