International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 343580, 11 pages
doi:10.1155/2010/343580
On subclass of analytic univalent functions associated with negative coefficients
Ma'moun Harayzeh Al-Abbadi
and Maslina Darus
School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Selangor D. Ehsan, Bangi 43600, Malaysia
Abstract
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∈ℂ:|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.