Inclusion properties for analytic functions of q-analogue multiplier-Ruscheweyh operator

The results of this work have a connection with the geometric function theory and they were obtained using methods based on subordination along with information on q-calculus operators. We defined the q-analogue of multiplier- Ruscheweyh operator of a certain family of linear operators I-q,mu(s)(lambda,& ell;)f(sigma)(s is an element of N-0=N boolean OR{0},N={1,2,3,..};& ell;,lambda,mu >= 0,0<q<1). Our major goal was to build some analytic function subclasses using I-q,mu(s)(lambda,& ell;)f(sigma) and to look into various inclusion relationships that have integral preservation features.