Certain subclasses of uniformly convex functions and corresponding class of starlike functions

N. Magesha,* and V. Prameelab

Certain subclasses of uniformly convex functions and corresponding class of starlike functions

Authors :

N. Magesh^a,* and V. Prameela^b

Author Address :

^aP.G. and Research Department of Mathematics, Govt Arts College for Men , Krishnagiri - 635001, India.
^bDepartment of Mathematics, Adhiyamaan College of Engineering (Autonomous), Hosur - 635109, Tamilnadu, India.

*Corresponding author.

Abstract :

In this paper, we defined a new subclass of uniformly convex functions and corresponding subclass of starlike functions with negative coefficients and obtain coefficient estimates. Further we investigate extreme points, growth and distortion bounds, radii of starlikeness and convexity and modified Hadamard products.

Keywords :

Univalent functions, convex functions, starlike functions, uniformly convex functions, uniformly starlike functions.

DOI :

Article Info :

Received : October 17, 2012; Accepted : November 30, 2012.