Fekete-Szegö inequality for a subclass of analytic functions associated with Gegenbauer polynomials

In this paper, we define a subclass of analytic functions by denote $T_{\beta}H\left( z,C_{n}^{\left( \lambda \right) }\left( t\right) $ satisfying the following subordinate condition \begin{equation*} \left( 1-\beta \frac{zf^{^{\prime }}\left( z\right) }{f\left( }\right) +\beta 1+\frac{zf^{^{\prime \prime }{f^{^{\prime \prec \frac{1}{\left( 1-2tz+z^{2}\right) ^{\lambda }}, \end{equation*} where $\beta \geq 0$, $\lambda 0$ and $t\in \frac{1}{2},1\right] $. We give coefficient estimates Fekete-Szegö inequality for belong to subclass.