en عمومى General پژوهشي Research paper <div style="text-align: justify;">The purpose of the present paper is to introduce two new subclasses of the function class&nbsp;&sum;_m&nbsp; of bi-univalent functions which both f&nbsp; and f^-1&nbsp; are m-fold symmetric analytic functions. Furthermore, we obtain estimates on the initial coefficients for functions in each of these new subclasses. Also we explain the relation between our results with earlier known results.</div> Analytic function, Univalent function, m-fold symmetric bi-univalent functions. 33 39 http://ijmsi.ir/browse.php?a_code=A-10-3777-1&slc_lang=en&sid=1 Aqeel Ketab AL-khafaji aqeelketab@gmail.com 100319475328460010007 100319475328460010007 Yes Department of Mathematics College of Education for Pure Sciences, University of Babylon, Iraq