International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 343580, 11 pages
Research Article

On Subclass of Analytic Univalent Functions Associated with Negative Coefficients

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

Received 18 November 2009; Accepted 9 January 2010

Academic Editor: Stanisława R. Kanas

Copyright © 2010 Ma'moun Harayzeh Al-Abbadi 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.


M. H. Al-Abbadi and M. Darus (2009) recently introduced a new generalized derivative operator μλ1,λ2n,m, which generalized many well-known operators studied earlier by many different authors. In this present paper, we shall investigate a new subclass of analytic functions in the open unit disk U={z:|z|<1} which is defined by new generalized derivative operator. Some results on coefficient inequalities, growth and distortion theorems, closure theorems, and extreme points of analytic functions belonging to the subclass are obtained.