International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 576571, 9 pages
Review Article

On Some Subclasses of Harmonic Functions Defined by Fractional Calculus

R. A. Al-Khal and H. A. Al-Kharsani

Department of Mathematics, Faculty of Science, Girls College, P.O. Box 838, Dammam 31113, Saudi Arabia

Received 1 July 2008; Accepted 3 November 2008

Academic Editor: Teodor Bulboaca

Copyright © 2008 R. A. Al-Khal and H. A. Al-Kharsani. 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.


The purpose of this paper is to study subclasses of normalized harmonic functions with positive real part using fractional derivative. Sharp estimates for coefficients and distortion theorems are given.