It follows immediately from Lemma 1.2c that the integral operator I as given

By carefully selecting the starlike function g and the parameter p, in Theorem 3.6a we can obtain several interesting distortion theorems. For

We return to the operator (3.6-2) with complex values of ~ and y, with Re ~ > 0 and Re y ~ 0. We introduce two constants that will be used in the remainder of this section. Let

(3.6-5)

In order to prove the next main theorem we will employ the following

criterion for univalence due to K. Sakaguchi [ 363 ].