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In the present paper, a new subclass of analytic and bi-univalent functionsby means of Chebyshev polynomials is introduced. Certain coefficient bounds forfunctions belong to this subclass are obtained. Furthermore, the Fekete-Szegoproblem in this subclass is solved.

Fekete-Szego Inequality for Analytic and Bi-univalent Functions Subordinate to Chebyshev Polynomials