Convolutions for certain analytic functions

Applying the coefficient inequalities of functions f(z) belonging to the subclasses SD(α, β) and KD(α, β) of certain analytic functions in the open unit disk U, two subclasses SD∗(α, β) and KD∗(α, β) are introduced. In this present paper, some interesting convolution properties of functions f(z) in the classes SD∗(α, β) and KD∗(α, β) are discussed by using Shwarz inequality. 2000 Mathematical Subject Classification: 30C45