ON THE COEFFICIENT BOUNDS FOR A SUBCLASS OF BI-UNIVALENT FUNCTIONS BY USING SALAGEAN DIFFERENTIAL OPERATORS

ON THE COEFFICIENT BOUNDS FOR A SUBCLASS OF BI-UNIVALENT FUNCTIONS BY USING SALAGEAN DIFFERENTIAL OPERATORS

A. Motamednezhad

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Abstract

Making use of S al agean di erential operator, in this paper, we introduce and investigate an interesting subclass Sh;p   (k;  ) of bi-univalent functions in the open unit disk U. Furthermore, we  nd estimates on the ja2j and ja3j coe cients for functions in this subclass. The results presented in this paper would generalize and improve some recent works.

Keywords

bi-univalent functions, coe cient estimates, univalent functions, S al agean di erential operator.