We derive theq-analogue of the well-known Ruscheweyh differential operator using the concept ofq-derivative. Here, we investigate several interesting properties of thisq-operator by making use of the method of differential subordination.

By making use of basic hypergeometric functions, a class of complex harmonic meromorphic functions with positive coefficients is introduced. We obtain some properties such as coefficient inequality, growth theorems, and extreme points.

We derive the Fekete-Szegö theorem for new subclasses of analytic functions which areq-analogue of well-known classes introduced before.