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 |am+1|,|a2m+1|,and |a m+1 2 -a2m+1| coefficients for analytic bi-univalent functions defined by fractional calculus are found in this study.