ABSTRACT

This theorem could have been used to prove the preservation of close-to-

convexity of the Libera operator [Theorem 2.6g ], since the preservation of

convexity had previously been proven.

T. Bulboaca in [ 41 ] extended Theorem 3.5o to an integral operator of the

following form

(3.5-49) _9 , ,, ,y [ fl(z) ~ [ [:(;) ~y l f ~ (t)[g(z)j y-1 g'(t) dt r~ With 13 = 1 I a, a > 0 he obtained conditions on g, a and y such that if the integral operator (3.5-49) preserves a-convex functions , then it preserves a

certain class of Bazilevic functions ( for the definition of these functions see