Estimate for initial maclaurin coefficients of general subclasses of bi-univalent functions of complex order involving subordination

Abstract

The object of this paper to construct a new classA(mu,lambda,delta)(m)(alpha, beta, gamma, t, Psi)of bi-univalent functions of complex order defined in the open unit disc. The second and the third coefficients of the Taylor-Maclaurin series for functions in the new subclass are determined. Several special consequences of the results are also indicated.