Coefficient bounds of m-fold symmetric bi-univalent functions for certain subclasses

In this article, the authors introduce two new subclasses of a class m-fold symmetric biunivalent functions in open unit disk. Coefficient bounds for the Taylor-Maclaurin coefficients |am+۱| and |a۲m+۱| are obtained. Furthermore, we solve ”Fekete-Szeg” ”o” functional problems for functions in FP,m(γ, µ, ϑ) and MP,m(κ, η, ϑ). Also, several certain special improver results for the associated classes are presented.

Keywords:

Analytic functions , Bi-Univalent functions , Fekete-Szeg¨o coefficient , Taylor-Maclaurin series , Univalent functions