Coefficient problems for certain subclass of m–fold symmetric bi-univalent functions by using Faber polynomial

Abstract

‎In this paper‎, ‎we apply the Faber polynomial expansions to find upper bounds for the general coefficients $|a_{mk+1}|(k \geqq 3)$ of functions in the subclass ${\mathcal N}_{\Sigma_m} (\tau,\gamma;\beta)$‎. ‎The results presented in this paper would generalize and improve some recent works‎.