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International Journal of Mathematics and Mathematical Sciences
Volume 2014 (2014), Article ID 260198, 6 pages
http://dx.doi.org/10.1155/2014/260198
Research Article

Strong Differential Subordinations Obtained with New Integral Operator Defined by Polylogarithm Function

Department of Information Technology, Nizwa College of Technology, Ministry of Manpower, P.O. Box 75, 612, Oman

Received 9 December 2013; Accepted 20 February 2014; Published 6 April 2014

Academic Editor: Heinrich Begehr

Copyright © 2014 K. AL-Shaqsi. 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.

Abstract

By using the polylogarithm function, a new integral operator is introduced. Strong differential subordination and superordination properties are determined for some families of univalent functions in the open unit disk which are associated with new integral operator by investigating appropriate classes of admissible functions. New strong differential sandwich-type results are also obtained.