International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 90921, 9 pages

Integral means of certain multivalent functions

S. Sümer Eker,1 H. Özlem Güney,1 and Shigeyoshi Owa2

1Department of Mathematics, Faculty of Science and Arts, University of Dicle, Diyarbakir 21280, Turkey
2Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan

Received 9 December 2005; Accepted 2 May 2006

Copyright © 2006 S. Sümer Eker 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.


For analytic and multivalent functions f(z) and p(z) in the open unit disk U, a subordination theorem due to Littlewood (1925) which was called the integral mean is applied. Some simple examples for our results are also considered.