THE FEKETE-SZEGÖ PROBLEMS FOR A SUBCLASS OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS

THE FEKETE-SZEGÖ PROBLEMS FOR A SUBCLASS OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS

A. Motamednezhad, S. Salehian, N. Magesh

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Abstract

In this paper, we investigate a new subclass Ph;p m (; ) of m-fold symmetric bi-univalent functions. Moreover, for functions of this subclass, we obtain the coecient estimates of the Taylor-Maclaurin coecients jam+1j; ja2m+1j and Fekete-Szego problems. The coecients estimates presented in this paper would generalize and improve those in related works of several earlier authors

Keywords

Bi-univalent functions, m-Fold symmetric bi-univalent functions, Coecient estimates, Fekete-Szego.