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
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
Academic Editor: Linda Sons
Copyright © 2008 Oh Sang Kwon and Nak Eun Cho. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.