Coefficient estimates for a general subclass of $m$-fold symmetric bi-univalent functions

A. Motamednezhad, S. Salehian

In the present paper, we introduce and investigate an interesting subclass ${\mathcal B}_{{\Sigma}_m}^{h,p}(\lambda,\gamma)$ of $m$-fold symmetric bi-univalent functions in the open unit disk $\mathbb{U}$. Furthermore, we obtain estimates on the coefficients $|a_{m+1}|$ and $|a_{2m+1}|$ for functions belonging to this subclass. The results presented in this paper would generalize and improve some recent works of several earlier authors.

Tbilisi Mathematical Journal, Vol. 12(2) (2019), pp. 163-176