International Journal of Mathematics and Mathematical Sciences
Volume 2011 (2011), Article ID 583972, 11 pages
http://dx.doi.org/10.1155/2011/583972
Research Article

The Fekete-Szegö Problem for -Valently Janowski Starlike and Convex Functions

Toshio Hayami1 and Shigeyoshi Owa2

1School of Science and Technology, Kwansei Gakuin University, Sanda, Hyogo 669-1337, Japan
2Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan

Received 13 January 2011; Accepted 4 May 2011

Academic Editor: A. Zayed

Copyright © 2011 Toshio Hayami and Shigeyoshi Owa. 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

For -valently Janowski starlike and convex functions defined by applying subordination for the generalized Janowski function, the sharp upper bounds of a functional related to the Fekete-Szegö problem are given.