Abstract
In the current work, we introduce a special family of the function family of analytic and m-fold symmetric bi-univalent functions and obtain estimates of the Taylor-Maclaurin coefficients vertical bar d(m+1)vertical bar and vertical bar d(2m+1)vertical bar for functions in the special family. For delta a real number, Fekete-Szego functional vertical bar d(2m+1) - delta d(m+)(1)(2)vertical bar for functions in the special family is also estimated. We indicate several cases of the defined family and connections to existing results are also discussed.