Differential Subordination Results for New Classes of the Family E(φ,ψ)

We define new classes of the family E(Φ,Ψ), in a unit disk U := {z ∈ C, |z| < 1}, as follows: for analytic functions F (z),Φ(z) and Ψ(z) so that <{ (z)∗Φ(z) F (z)∗Ψ(z)} > 0, z ∈ U, F (z) ∗Ψ(z) 6= 0 where the operator ∗ denotes the convolution or Hadamard product. Moreover, we establish some subordination results for these new classes.