A certain class of analytic functions associated with a differential operator

Abstract

For 0 ≤ μ ≤ λ, 0 ≤ α ≤ 1, -π/2< β < π/2 and m ∈ ⋃ { 0} a new class R^m (λ, μ, α, β) of analytic functions defined by means of the differential operator D_λμ^m is introduced. Basic properties of the class R^m (λ, μ, α, β) are investigated. Connections with previously known results are also pointed out.