Coefficient Estimation Utilizing the Faber Polynomial for a Subfamily of Bi-Univalent Functions

The paper introduces a new family of analytic bi-univalent functions that are injective and possess inverses, by employing q-analogue the derivative operator. Moreover, article establishes upper bounds Taylor–Maclaurin coefficients these functions, which can aid in approximating accuracy approximations using finite number terms. obtained Faber polynomial expansions. These apply to both initial few all series, making them general early, respectively.