On Initial Chebyshev Polynomial Coefficient Problem for Certain Subclass of Bi-Univalent Functions

In this paper, we firstly, introduced the subclass R-Sigma(tau, alpha,gamma, t) satisfying subordinate conditions. Subsequently, considering this defined subclass, initial coefficient estimations are established using by Chebyshev polynomials expansions, and Fekete-Szego inequalities are also derived for functions belonging to the said subclass. Furthermore, Some relevant consequences of these results are also discussed.