On univalence criteria for analytic functions defined by multiplier transformation and Ruscheweyh derivative

摘要

In this paper we obtain su.cient conditions for univalence of analytic functions defined by the linear operator RI α n,λ,l : A → A, RI α n,λ,l f(z) = (1 . α)R n f(z) + αI (n, λ, l) f(z), z ∈ U, where R n f(z) is the Ruscheweyh derivative, I (n, λ, l) the