Faber Polynomial Coefficient Estimates for Subclasses of m-Fold Symmetric Bi-univalent Functions Defined by Fractional Derivative

A new subclass of bi-univalent functions both f and f(-1) which are mfold symmetric analytic functions are investigated in this study. We also determine the estimate for the general Taylor-Maclaurin coefficient of the functions in this class. Furthermore, using the Faber polynomial expansion, upper bounds of |a(m+1)|, |a(2m+1)|, and |a(m+1)(2) - a(2m+1)| coefficients for analytic bi-univalent functions defined by fractional calculus are found in this study.