On a New Subclass of Bi-Univalent Analytic Functions Characterized by  \((\mathcal {P},\mathcal {Q})\) -Lucas Polynomial Coefficients via Sălăgean Differential Operator

In this study, by using Lucas polynomials, subordination, and Sălăgean differential operator, we investigate the class \(\mathcal{{Q}}_{\Sigma }(m,n;\Theta )\) of bi-univalent functions. Also we examine \((\mathcal {P}, \mathcal {Q})\) -Lucas polynomial coefficient estimates and Fekete–Szegö inequalities for functions belonging \(\mathcal{{Q}}_{\Sigma }(m,n;\Theta )\) .