Let RA,B(α,β,q) denote the class of functions f(z) = z(?) which are analytic and nnivalent in < 1, and satisfy the condition. Also let RA,B(α,β,q,t) denote the class of functions (1 - t)z + tf(z), where f(z) ∈RA,B(α,β, q) and t ∈(0, 1].Sharp results concerning representation, distortion theorems and radius of convexityfor the class RA,B(α,β, q, t) are determined. It is shown that the class RA,B(α,β,q, t)is closed under linear combinations. Furthermore extreme points and support points forthe class RA,B(α,β,q, t) are also determined. |