On a Certain Subclass of Starlike Functions with Negative Coefficient
Halit Orhan* and Ömer Durmazpinar* Author for corresponding; e-mail address: horhan@atauni.edu.tr
Volume: Vol.31 No.1 (JANUARY 2004)
Research Article
DOI:
Received: 29 August 2003, Revised: -, Accepted: 7 November 2003, Published: -
Citation: Orhan H. and Durmazpinar Ã., On a Certain Subclass of Starlike Functions with Negative Coefficient, Chiang Mai Journal of Science, 2004; 31(1): 3-10.
Abstract
The object of the present papaer is to derive various interesting properties of a certain subclass of starlike functions with negative coefficients. In particular, we give numerous sharp results including coefficient estimates, distortion theorem and radius of convexity for functions belonging to this subclass. We also show that the class studied in this work is closed under arithmetic mean and convex linear combinations. Furthermore, integral operator of several functions belonging to the class T*(l, g) (A, B, α, β, p) are studied here.