Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 259205, 11 pages
On Meromorphic Harmonic Functions with Respect to -Symmetric Points
School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, Selangor D. Ehsan 43600, Malaysia
Received 22 May 2008; Revised 20 July 2008; Accepted 23 August 2008
Academic Editor: Ramm Mohapatra
Copyright © 2008 K. Al-Shaqsi and M. 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.
In our previous work in this journal in 2008, we
introduced the generalized derivative operator
for . In this paper, we introduce a class of
meromorphic harmonic function with respect to -symmetric points
defined by . Coefficient bounds, distortion
theorems, extreme points, convolution conditions, and
convex combinations for the functions belonging to this class are obtained.