On the Chebyshev coefficients for a general subclass of bi-univalent functions

At the first, we inroduce a subclass $\widetilde{\mathcal B}_{\sigma_{\mathbb B}}^{q}(\lambda,t)$ of bi-univalent functions by applying the Chebyshev polynomials. In the following, we obtain bounds for the initial coefficients and the Fekete-Szeg$\ddot{o}$ inequalities for functions in this subclass. The results presented in this paper generalize the recent work of Altinkaya and Yal\c{c}ın.