Subclasses of Starlike Functions of Complex Order Involving Generalized Hypergeometric Functions

摘要

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 neighbourhood results for the class TS_λ~τ(α, β, γ). In particular, we obtain integral means inequalities for the function f(z) belongs to the class TS_λ~τ(α, β, γ) in the unit disc.