Fekete-Szego Inequality for a Subclass of Bi-univalent Functions by Applying Salagean q-Differential Operator

Throughout this study, we propose a new subclass of bi-univalent functions by applying the Salagean q-differential operator and denoted as Script capital L Sigma(k)(q)(lambda, phi). Additionally, we acquired the values of the initial coefficients |a(2)| and |a(3)| for functions f is an element of L Sigma(k)(q)(lambda, phi) which yield to this study's preliminary result. Subsequently, the preliminary result was applied to obtain the upper bound of Fekete-Szego inequality, |a(3) - rho a(2)(2)|, for functions f is an element of L Sigma(k)(q)(lambda, phi).