Univalence of quotient of analytic functions
Let A denote the family of all analytic functions f in the unit disk D with the normalization f ( 0 ) = 0 = f ' ( 0 ) - 1 . In this note, we mainly consider the radius of univalence of F defined by F ( z ) = z 2 / f ( z ) , where f belongs to some subclasses of A or S , the class of univalent functions from A . The results of the present article sharpen the earlier known results.