International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 496731, 13 pages
Research Article

On a Subclass of Harmonic Convex Functions of Complex Order

1Department of Mathematics, Government Arts College, Krishnagiri 635 001, India
2Department of Mathematics, Adhiyamaan College of Engineering (Autonomous), Hosur 635 109, India

Received 21 December 2011; Accepted 30 March 2012

Academic Editor: Aloys Krieg

Copyright © 2012 N. Magesh and S. Mayilvaganan. 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.


We introduce and study a subclass of harmonic convex functions of complex order. Coefficient bounds, extreme points, distortion bounds, convolution conditions, and convex combination are determined for functions in this class. Further, we obtain the closure property of this class under integral operator.