International Journal of Mathematics and Mathematical Sciences
Volume 2013 (2013), Article ID 769537, 5 pages
http://dx.doi.org/10.1155/2013/769537
Research Article

Univalence of a New General Integral Operator Associated with the -Hypergeometric Function

Huda Aldweby and Maslina Darus

School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia

Received 11 December 2012; Revised 3 February 2013; Accepted 17 February 2013

Academic Editor: Shyam Kalla

Copyright © 2013 Huda Aldweby and Maslina Darus. 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

Motivated by the familiar -hypergeometric functions, we introduce a new family of integral operators and obtain new sufficient conditions of univalence criteria. Several corollaries and consequences of the main results are also pointed out.