International Journal of Mathematics and Mathematical Sciences 
Volume 2008 (2008), Article ID 159029, 11 pages
doi:10.1155/2008/159029
Research Article

Starlike and Convex Properties for Hypergeometric Functions

Oh Sang Kwon1 and Nak Eun Cho2

 1Department of Mathematics, Kyungsung University, Busan 608-736, South Korea
2Department of Applied Mathematics, Pukyong National University, Busan 608-737, South Korea
Received 13 February 2008; Accepted 18 June 2008

Recommended by Linda Sons

Abstract

The purpose of the present paper is to give some characterizations for a (Gaussian) hypergeometric function to be in various subclasses of starlike and convex functions. We also consider an integral operator related to the hypergeometric function.