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International Journal of Mathematics and Mathematical Sciences
Volume 2014, Article ID 628972, 6 pages
Research Article

On Harmonic Functions Defined by Differential Operator with Respect to -Symmetric Points

School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor D. Ehsan, Malaysia

Received 29 April 2014; Revised 4 July 2014; Accepted 7 July 2014; Published 23 July 2014

Academic Editor: Heinrich Begehr

Copyright © 2014 Afaf A. Ali Abubaker and Maslina 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.


We introduce new classes and of harmonic univalent functions with respect to -symmetric points defined by differential operator. We determine a sufficient coefficient condition, representation theorem, and distortion theorem.