International Journal of Mathematics and Mathematical Sciences (Jan 2010)
Certain Subclasses of Starlike Functions of Complex Order Involving Generalized Hypergeometric Functions
Abstract
Making use of the generalized hypergeometric functions, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients and obtain coefficient estimates, extreme points, the radii of close-to-convexity, starlikeness and convexity, and neighborhood results for the class TSml(α,β,γ). In particular, we obtain integral means inequalities for the function f that belongs to the class TSml(α,β,γ) in the unit disc.