Initial Coefficient Estimates and Fekete–Szegö Inequalities for New Families of Bi-Univalent Functions Governed by (p − q)-Wanas Operator

The motivation of the present article is to define the $(p-q)$-Wanas operator in geometric function theory by the symmetric nature of quantum calculus. We also initiate and explore certain new families of holormorphic and bi-univalent functions ${\mathcal{A}}_E(\lambda ,\sigma ,\delta ,s,t,p,q;\vartheta )$ and $S_E(\mu ,\gamma ,\sigma ,\delta ,s,t,p,q;\vartheta )$ which are defined in the unit disk U associated with the $(p-q)$-Wanas operator. The upper bounds for the initial Taylor–Maclaurin coefficients and Fekete–Szegö-type inequalities for the functions in these families are obtained. Furthermore, several consequences of our results are pointed out based on the various special choices of the involved parameters.