Coefficient estimates and Fekete-Szegő inequalities for a new subclass of m-fold symmetric bi-univalent functions satisfying subordinate conditions

In this paper, we introduce a new subclass of the class of \textit{m}-fold symmetric bi-univalent functions and obtain estimates of the Taylor-Maclaurin coefficients  $|a_{m+1}|,|a_{2m+1}|$ and Fekete-Szeg\H{o} functional problem for functions in this new subclass. The results in this paper generalize some of the results of Huo Tang et al. [18] Altinkaya and Yalcin [3].