Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 259205, 11 pages
Research Article

On Meromorphic Harmonic Functions with Respect to k-Symmetric Points

K. Al-Shaqsi and M. Darus

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 𝔇mj for f𝒮. In this paper, we introduce a class of meromorphic harmonic function with respect to k-symmetric points defined by 𝔇mj. Coefficient bounds, distortion theorems, extreme points, convolution conditions, and convex combinations for the functions belonging to this class are obtained.