Initial Coefficients of Biunivalent Functions

Abstract

An analytic function $f$ defined on the open unit disk is biunivalent if the function $f$ and its inverse $f^{-1}$ are univalent in $𝔻$. Estimates for the initial coefficients of biunivalent functions $f$ are investigated when $f$ and $f^{-1}$, respectively, belong to some subclasses of univalent functions. Some earlier results are shown to be special cases of our results.