On certain meromorphic p-valent starlike functions

A certain differential operator Dn+p is introduced for functions of the formf(z)=1zp+a0zp-1+⋯+ak+p-1zk+⋯which are regular in the annulus E*={z∈C:0<|z|<1}, where p is a positive integer. The main object of this paper is to give an application of the operator Dn+p to the differential inequalities.