Certain class of m-fold functions by applying Faber polynomial expansions

"In this paper, we introduce new class $\Sigma_{m}(\mu,\lambda,\gamma,\beta)$ of $m$-fold symmetric bi-univalent functions. Furthermore, use the Faber polynomial expansions to find upper bounds for general coefficients $|a_{mk+1}|(k \geqq 2)$ functions in $\Sigma_{m}(\mu,\lambda,\gamma,\beta)$. Moreover, obtain estimates initial $|a_{m+1}| $ and $|a_{2m+1}|$ class. The results presented paper would generalize improve some recent works."