On a new subclass of M-fold symmetric biunivalent functions equipped with subordinate conditions

Abstract

In this paper, we introduce a new subclass of biunivalent function class Σ in which both f(z) and f-1(z) are m-fold symmetric analytic functions. For functions of the subclass introduced in this paper, we obtain the coefficient bounds for |am+1| and |a2m+1| and also study the Fekete-Szegö functional estimate for this class. Consequences of the results are also discussed.