International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 416875, 10 pages
Research Article

A New Subclass of Harmonic Univalent Functions Associated with Dziok-Srivastava Operator

1Department of Mathematics, Brahmanand College, The Mall, Kanpur 208004, India
2Department of Mathematics, GIIT, Gwalior 474015, India

Received 30 March 2012; Accepted 29 October 2012

Academic Editor: Attila Gilányi

Copyright © 2012 A. L. Pathak et al. 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.


The purpose of the present paper is to study a certain subclass of harmonic univalent functions associated with Dziok-Srivastava operator. We obtain coefficient conditions, distortion bounds, and extreme points for the above class of harmonic univalent functions belonging to this class and discuss a class preserving integral operator. We also show that class studied in this paper is closed under convolution and convex combination. The results obtained for the class reduced to the corresponding results for several known classes in the literature are briefly indicated.