Properties of certain analytic multivalent functions defined by a linear operator

Let A.p; k/.p; k 2 N D f1; 2; 3; : : :g/ be the class of functions f .z/ D zp C apCkzpCk C which are analytic in the unit disk E D fz V jzj < 1g. By using a linear operator Lp;k.a; c/, we introduce a new subclass Tp;k.a; c; I h/ of A.p; k/ and derive some interesting properties for the class Tp;k.a; c; I h/.