Jakubowski starlike integral operators

Abstract

Abstract Let S ( m , M ) be the set of functions regular and satisfying │ zf ′( z )/ f(z) – m│< M in │z│ <1, where│ m –│ < M ;≦ m ; and let S*( p ) be the set of starlike functions of order p , 0≦ p <1. In this paper we obtain integral operators which map S ( m , M ) into S ( m M ) and S* ( p ) × S ( m M ) into S*( p ). Our results improve and generalize many recent results.