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Abstract and Applied Analysis
Volume 2014, Article ID 958563, 6 pages
Research Article

Some Subordination Results on -Analogue of Ruscheweyh Differential Operator

School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor (Darul Ehsan), Malaysia

Received 5 January 2014; Revised 24 March 2014; Accepted 25 March 2014; Published 14 April 2014

Academic Editor: Sergei V. Pereverzyev

Copyright © 2014 Huda Aldweby 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.


We derive the -analogue of the well-known Ruscheweyh differential operator using the concept of -derivative. Here, we investigate several interesting properties of this -operator by making use of the method of differential subordination.