Inclusion relations and convolution properties of a certain class of analytic functions associated with the Ruscheweyh derivatives

Let AA denote the class of functions f(z)f(z) withf(0)=f′(0)−1=0,f(0)=f′(0)−1=0, which are analytic in the open unit disk UU. By means of the Ruscheweyh derivatives, we introduce and investigate the various properties and characteristics of a certain two-parameter subclass T(α,λ;h)T(α,λ;h) of AA, where α≧0α≧0, λ>−1λ>−1, and h(z)h(z) is analytic and convex univalent in UU with h(0)=1h(0)=1. In particular, some inclusion relations and convolution properties for the function class T(α,λ;h)T(α,λ;h) are presented here.