FEKETE-SZEGÖ INEQUALITY FOR ANALYTIC AND BI-UNIVALENT FUNCTIONS SUBORDINATE TO (p- q)-LUCAS POLYNOMIALS

FEKETE-SZEGÖ INEQUALITY FOR ANALYTIC AND BI-UNIVALENT FUNCTIONS SUBORDINATE TO (p- q)-LUCAS POLYNOMIALS

A. Amourah

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Abstract

In this paper, a subclass of analytic and bi-univalent functions by means of (p; q)- Lucas polynomials is introduced. Certain coecients bounds for functions belonging to this subclass are obtained. Furthermore, the Fekete-Szego problem for this subclass is solved.

Keywords

Lucas polynomials, bi-univalent functions, analytic functions, Fekete-Szego problem.