In the present investigation, we define two new subclasses of the function class Σ m of analytic and m-fold symmetric bi-univalent functions defined in the open unit disk U. Furthermore, for functions in each of the subclasses introduced here, we determine the estimates on the initial coefficients |a m+1 | and |a 2m+1 |. Also, we indicate certain special cases for our results.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.