On the Strong Starlikeness of the Bernardi Transform.

Many papers concern both the starlikeness and the convexity of Bernardi integral operator. Using the Nunokawa's Lemma, we want to determine conditions for the strong starlikeness of the Bernardi transform of normalized analytic functions g, such that |arg{g '(z)} | < alpha pi/2 in the open unit disk delta where 0 < alpha < 2. Our results include the results of Mocanu, Nunokawa and others on the Libera transform.