International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 369078, 15 pages
doi:10.1155/2010/369078
Differential subordination defined by new generalised derivative operator for analytic functions
Ma'moun Harayzeh Al-Abbadi
and Maslina Darus
School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi Selangor (Darul Ehsan), Malaysia
Abstract
A new generalised derivative operator μλ1,λ2n,m is introduced. This operator generalised many well-known operators studied earlier by many authors. Using the technique of differential subordination, we will study some of the properties of differential subordination. In addition we investigate several interesting properties of the new generalised derivative operator.