Some characteristic properties of analytic functions.

In this paper, we consider a class L(λ, μ, ϕ) of analytic functions f dened in the open unit disk U satisfying the subordination condition that q(z) Dλ+1f(z)/Dλf(z) ≺ ϕ(z) (λ ∈ N0; μ ≥ 0; z ∈ U); where q(z) = (z/Dλf(z))μ-2, Dλ is the Sλalλagean operator and ϕ(z) is a convex function with positive real part in U. We obtain some characteristic properties giving the coeficient inequality, radius and subordination results, and an inclusion result for the above class when the function ϕ(z) is a bilinear mapping in the open unit disk. For these functions f(z), sharp bounds for the initial coeficient and for the Fekete-Szego functional are determined, and also some integral representations are given. [ABSTRACT FROM AUTHOR]