Abstract

Motivated by work of Srivastava-Owa, we define new generalized subclasses of bi-univalent functions defined in the open unit disk which are associated with fractional differential operator. Furthermore, we have obtained estimates of the coefficients $|a_{2}|$ and $|a_{3}|$ for the functions belonging to these subclasses.

Keywords and Phrases

Univalent function, Srivastava-Owa fractional operators, bi-univalent function, coefficient estimates.

A.M.S. subject classification

30C45, 30C50.

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