A Meromorphic-Starlikeness-Preserving Property of an Integral Operator

Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract Let U = {z ∈ C : |z| < 1} be the unit disc in the complex plane.Let Σ k be the class of meromorphic functions f in U having the form: f (z) = 1 z + α k z k + · · · , 0 < |z| < 1, k ≥ 0 A function f ∈ Σ = Σ 0 is called starlike if − zf (z) f (z) > 0 in U Let denote by Σ * k the class of starlike functions inΣ k and by A n the class of holomorphic functions g of the form: g(z) = z + a n+1 z K g,c (f)(z) ≡ c g c+1 (z) z 0 f (t)g c (t)e γt p dt, z ∈ U, f ∈ Σ maps Σ * k into Σ * l , where l = min{p − 1, k}.