In this work, we introduce and investigate a subclass Hh,p ?m(?,?) of analytic and bi-univalent functions when both f(z) and f-1(z) are m-fold symmetric in the open unit disk U. Moreover, we find upper bounds for the initial coefficients |am+1| and |a2m+1| for functions belonging to this subclass Hh,p ?m(?,?). The results presented in this paper would generalize and improve those that were given in several recent works.

‎In this paper‎, ‎we introduce and investigate a subclass‎ of analytic and bi-univalent functions which both $f(z)$ and $f^{-1}(z)$ are m-fold symmetric in the open unit disk U‎. Furthermore‎, ‎we find upper bounds for the initial coefficients $|a_{m‎ + ‎1}|$ and $|a_{2m‎ + ‎1}|$ for functions in this subclass‎. ‎The results presented in this paper would generalize and improve some recent works‎.

In this paper, we introduce and investigate an interesting subclass of meromorphic and bi-univalent functions on = fz 2 C : 1 < jzj < 1g. Furthermore, for functions belonging to this class, estimates on the initial coe¢ cients are obtained. The results presented in this paper would generalize and improve some recent works of several earlier authors.

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