Open Access

On Meromorphic Harmonic Functions with Respect to -Symmetric Points

Journal of Inequalities and Applications20082008:259205

https://doi.org/10.1155/2008/259205

Received: 22 May 2008

Accepted: 23 August 2008

Published: 25 August 2008

Abstract

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.

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Authors’ Affiliations

(1)
School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia

Copyright

© K. Al-Shaqsi and M. Darus. 2008

This article is published under license to BioMed Central Ltd. 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.