Certain new applications of Faber polynomial expansion for some new subclasses of v-fold symmetric bi-univalent functions associated with q-calculus

In this article, we define the q-difference operator and Salagean q-differential operator for v-fold symmetric functions in open unit disk V by first applying the concepts of q-calculus operator theory. Then, we considered these operators in order to construct new subclasses for v-fold symmetric bi-univalent functions. We establish the general coefficient bounds |avk+1| for the functions in each of these newly specified subclasses using the Faber polynomial expansion method. Investigations are also performed on Feketo-Sezego problems and initial coefficient bounds for the function h that belong to the newly discovered subclasses. To illustrate the relationship between the new and existing research, certain well-known corollaries of our main findings are also highlighted.