Basic Properties for Certain Subclasses of Meromorphic p-Valent Functions with Connected q-Analogue of Linear Differential Operator

In this paper, we define three subclasses M-p,alpha(n,q)(eta,A,B),I-p,alpha(n)(lambda,mu,gamma),, R-p(n,q)(lambda,mu,gamma) connected with a q-analogue of linear differential operator D(alpha,p,G)(n,q )which consist of functions F of the form F(zeta)=zeta(-p)+ sigma(infinity )( j=1-p)a(j)zeta(j)(p is an element of N) satisfying the subordination condition p-1/eta{zeta(D alpha,p,GF)-F-n,q(zeta))'/(D alpha,p,GF)-F-n,q(zeta)+p } ? p1+A zeta/1+B zeta. Also, we study the various properties and characteristics of this subclass M-p,alpha(n,q,*)(eta,A,B) such as coefficients estimate, distortion bounds and convex family. Also the concept of delta neighborhoods and partial sums of analytic functions to the class M-p,alpha(n,q)(eta,A,B).