In this paper, the concepts of $(\ell ,ȷ)$-symmetrical functions and the concept of $q$-calculus are combined to define a new subclasses defined in the open unit disk. In particular. We look into a convolution property, and we'll use the results to look into our task even more, we deduce the sufficient condition, coefficient estimates investigate related neighborhood results for the class ${\mathcal{S}}_q^{\ell ,ȷ}(\lambda )$ and some interesting convolution results are also pointed out.