Abstract
In this work, we introduce and investigate a certain family [Formula: see text] of holomorphic and bi-univalent functions which are defined in the open unit disk [Formula: see text] associated with [Formula: see text]-Wanas operator. The estimates on the initial TaylorâMaclaurin coefficients [Formula: see text] and [Formula: see text] for the certain family are obtained. Also, we solve the FeketeâSzegö type inequality for functions in this family.
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