The results contained in the book are related to the field of Complex Analysis of one complex variable. The classical notions of differential subordination and its dual, differential superordination, introduced by S.S.Miller and P.T.Mocanu are the starting point for new differential subordinations and superordinations obtained using differential and integral operators and the classical methods of the admissible functions theory. Using the notion of strong differential subordination introduced by J.A.Antonino and S.Romaguera, the author introduced in a published paper the dual notion of strong...