The Fekete-Szegö problems for a subclass of m-fold symmetric bi-univalent functions

Abstract

In this paper, we investigate a new subclass Pʰ˒ᵖ Σm(λ, γ) of m-fold symmetric bi-univalent functions. Moreover, for functions of this subclass, we obtain the coefficient estimates of the Taylor-Maclaurin coefficients |am+1|, |a2m+1| and Fekete-Szegö problems. The coefficients estimates presented in this paper would generalize and improve those in related works of several earlier authors.