Coefficient bounds for certain subclasses of \(m\)-fold symmetric biunivalent functions (Q2337063)

Summary: We consider two new subclasses \(S_{\Sigma_m} (\alpha, \lambda)\) and \(S_{\Sigma_m} (\beta, \lambda)\) of \(\Sigma_m\) consisting of analytic and \(m\)-fold symmetric biunivalent functions in the open unit disk \(U\). Furthermore, we establish bounds for the coefficients for these subclasses and several related classes are also considered and connections to earlier known results are made.