A New Subclass of Bi-Univalent Functions Defined by a Certain Integral Operator

Abstract

We introduce a comprehensive subfamily of analytic and bi-univalent functions in this study using Horadam polynomials and the q-analog of the Noor integral operator. We establish upper bounds for the absolute values of the second and the third coefficients and the Fekete–Szegö functional for the functions belonging to this family. Various observations of the results presented here are also discussed.

Keywords

• analytic functions
• bi-univalent functions
• coefficient inequalities
• Fekete–Szegö problem
• Horadam polynomials
• q-analog of the Noor integral operator