Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 14630, 10 pages
doi:10.1155/2007/14630
Research Article

On Janowski Starlike Functions

M. Çag̃lar,1 Y. Polatog̃lu,1 A. Şen,1 E. Yavuz,1 and S. Owa2

1Department of Mathematics and Computer Science, TC İstanbul Kültür University, Istanbul 34156, Turkey
2Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan

Received 23 June 2007; Accepted 3 October 2007

Academic Editor: Ram N. Mohapatra

Copyright © 2007 M. Çag̃lar 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.

Abstract

For analytic functions f(z) in the open unit disc 𝕌 with f(0)=0 and f′(0)=1, applying the fractional calculus for f(z), a new fractional operator Dλf(z) is introduced. Further, a new subclass 𝒮λ∗(A,B) consisting of f(z) associated with Janowski function is defined. The objective of the present paper is to discuss some interesting properties of the class 𝒮λ∗(A,B).