International Journal of Mathematics and Mathematical Sciences
Volume 2011 (2011), Article ID 752341, 25 pages
Research Article

Some Properties of Certain Multivalent Analytic Functions Involving the Cătas Operator

Department of Mathematics, Faculty of Science, University of Mansoura, Mansoura 35516, Egypt

Received 2 March 2011; Accepted 8 May 2011

Academic Editor: Marco Squassina

Copyright © 2011 E. A. Elrifai et al. 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 introduce a certain subclass of multivalent analytic functions by making use of the principle of subordination between these functions and Cătas operator. Such results as subordination and superordination properties, convolution properties, inclusion relationships, distortion theorems, inequality properties, and sufficient conditions for multivalent starlikeness are provide. The results presented here would provide extensions of those given in earlier works. Several other new results are also obtained.