Abstract

Considering a function which is analytic in the open unit disk E, normalized by and having the power series of the form We introduce and study certain new subclass of bi-univalent function associated with conic domains in which both and are m-fold symmetric analytic functions. It is pertinent to remark here that the first two initial bi-univalent coefficients and estimated in the present investigation have their application in the construction of some (and not limited to) analytic functional such as Fekete-Szego functional and Hankel determinants to mention but few.