New extension of Alexander and Libera integral operators

Let T be the class of analytic functions in the open unit disc U with f (0) = 0 and f'(0) = 1. For f(z) is an element of T, the Alexander integral operator A(-1)f(z), the Libera integral operator L(-1)f(z) and the Bernardi integral operator B(-1)f(z) were considered before. Using A(-1)f(z) and L(-1)f(z), a new integral operator F(lambda)f (z) is considered. After discuss some properties of dominant for F(lambda)f(z), another new integral operator O(-1)f(z) of f(z) is an element of T is discussed. The object of the present paper is to discuss the dominant of new integral operators F(lambda)f(z) and O(-1)f(z) concerning with some starlike functions and convex functions in U.