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

Let A denote the class of functions f (z) with f (0) = f (0)− 1 = 0, which are analytic in the open unit disk U. 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) of A, where α 0, λ > −1, and h(z) is analytic and convex univalent in U with h(0) = 1. In particular, some inclusion relations and convolution properties for the function class T (α, λ;h) are presented here. © 2006 Elsevier Inc. All rights reserved.