International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 561638, 12 pages
Research Article

Subordination and Superordination Results for a Class of Analytic Multivalent Functions

S. P. Goyal,1 Pranay Goswami,1 and H. Silverman2

1Department of Mathematics, University of Rajasthan, Jaipur 302004, India
2Department of Mathematics, College of Charleston, Charleston, SC 29424, USA

Received 25 September 2007; Revised 19 February 2008; Accepted 21 May 2008

Academic Editor: Dorothy Wallace

Copyright © 2008 S. P. Goyal 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 derive subordination and superordination results for a family of normalized analytic functions in the open unit disk defined by integral operators. We apply this to obtain sandwich results and generalizations of some known results.