IJPAM: Volume 45, No. 4 (2008)

A NEW SUBCLASS OF UNIFORMLY STARLIKE AND
CONVEX FUNCTIONS WITH NEGATIVE COEFFICIENTS II

F. Ghanim$^1$, M. Darus$^2$
$^{1,2}$School of Mathematical Sciences
Faculty of Science and Technology
University Kebangsaan Malaysia
Bangi, 43600, Selangor D. Ehsan, MALAYSIA
$^1$e-mail: Firas.Zangnaa@Gmail.com
$^2$e-Mail: maslina@pkrisc.cc.ukm.my


Abstract.We define a new subclass of uniformly starlike and convex functions with negative coefficient, the main object of this paper is to obtain coefficient estimates such as distortion bounds, closure theorems and extreme points for functions belonging to this new class.

Received: March 20, 2008

AMS Subject Classification: 30C45

Key Words and Phrases: meromorphic, starlike, convex, uniformly starlike, uniformly convex functions

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 45
Issue: 4