ON A CERTAIN CLASS OF BI-UNIVALENT FUNCTIONS IN CONNECTION WITH GEGENBAUER POLYNOMIALS

Abstract
Recent direction of studies shows that there is a kin connection between regular functions and orthogonal polynomials. In this paper, we study a new class of regular and bi-univalent functions that involve the familiar Gegenbauer polynomials. Some achieved results include some early coefficient bounds and the upper estimates for the Fekete-Szegö inequalities with real and complex parameters
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