A new subclass Σp,q(α,A,B) of meromorphic multivalent functions is defined by means a q-difference operator. Some properties the in this subclass, such as sufficient and necessary conditions, coefficient estimates, growth distortion theorems, radius starlikeness convexity, partial sums closure are investigated.

Using the Liu–Owa operator we introduce a new class of multivalent analytic functions defined in the unit disc E. We investigate an inclusion relationship and radius problem for the class of functions of p-valent bounded radius rotations which are defined here by means of a certain integral operator Qβ,p.

The main object of the present paper is to derive some results for multivalent analytic functions defined by a linear operators. As a special case of these results, we obtain several sufficient conditions for close-to-convexity and starlikeness of certain analytic functions.