Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 134932, 12 pages
doi:10.1155/2008/134932
Research Article
A New Subclass of Analytic Functions Defined by Generalized Ruscheweyh Differential Operator
Civil Aviation College, Kocaeli University, Arslanbey Campus, 41285 İzmit-Kocaeli, Turkey
Received 1 July 2008; Accepted 3 September 2008
Academic Editor: Narendra Kumar Govil
Copyright © 2008 Serap Bulut. 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
We investigate a new subclass of analytic
functions in the open unit disk 𝕌 which is defined by generalized
Ruscheweyh differential operator. Coefficient inequalities, extreme
points, and the integral means inequalities for the fractional derivatives of order p+η(0≤p≤n,0≤η<1) of functions belonging
to this subclass are obtained.