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In this work, we represent two new subclasses of the bi-univalent functions (by using convolution) which both f(z) and f−1(z) are m-fold symmetric analytic functions. Among other results, for this new subclasses, bounds on the coefficients |am+1| and |a2m+1| are given in this study. 2010 Mathematics Subject Classification: 30C45.

COEFFICIENT BOUNDS FOR CERTAIN SUBCLASSES OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS DEFINED BY CONVOLUTION