Copyright © 2010 Abdolreza Tehranchi and Adem Kılıçman. 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 aim of the present paper is to study the -valent analytic functions in the unit disk and satisfy the differential subordinations where is an operator defined by Slgean and is a complex number. Further we define a new related integral operator and also study the Fekete-Szego problem by proving some interesting properties.