Journal of Inequalities and Applications 
Volume 2008 (2008), Article ID 259205, 11 pages
doi:10.1155/2008/259205
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

Recommended by Ramm Mohapatra

Abstract

In our previous work in this journal in 2008, we introduced the generalized derivative operator 𝔇mj for f∈𝒮ℋ. 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.