General Mathematics Vol. 15, Nr. 2–3(2007), 98–107 First order linear strong differential subordinations Georgia Irina Oros and Gheorghe Oros Abstract The concept of differential subordination was introduced in [6] by S.S. Miller and P.T. Mocanu and the concept of strong differ- ential subordination was introduced in [1] by J.A. Antonino and S. Romaguera. This last concept was applied in the special case of Briot-Bouquet strong differential subordination. In [8] we study the strong differential subordinations in the general case. In this paper we study the first order linear strong differential subordinations. 2000 Mathematical Subject Classification: 30C45, 34A30. Key words and phrases: analytic function, differential subordination, strong subordination. 98