Subclass of analytic functions on q-analogue connected with a new linear extended multiplier operator

Using a new linear extended multiplier $q$-Choi-Saigo-Srivastava operator $D_{\alpha ,\beta }^{m,q}(\mu ,\tau )$ we define a subclass $\Theta _{\alpha,\beta }^{m,q}(\mu ,\tau ,N,M)$ subordination and the newly defined $q$-analogue of the Choi-Saigo-Srivastava operator to the class of analytic functions. For this class, conclusions are drawn that include coefficient estimates, integral representation, linear combination, weighted and arithmetic means, and radius of starlikeness.