Certain new subclasses of m -fold symmetric bi-pseudo-starlike functions using Q -derivative operator

In this current study, we introduced and investigated two new subclasses of the bi-univalent functions associated with q -derivative operator; both f and f − 1 are m -fold symmetric holomorphic functions in the open unit disk. Among other results, upper bounds for the coefficients | ρ m + 1 | and | ρ 2 m + 1 | are found in this study. Also certain special cases are indicated.