(p, q)-CHEBYSHEV POLYNOMIALS AND THEIR APPLICATIONS TO BI-UNIVALENT FUNCTIONS

(p, q)-CHEBYSHEV POLYNOMIALS AND THEIR APPLICATIONS TO BI-UNIVALENT FUNCTIONS

A. Amourah, H. Abdelkarim, A. Alelaumi

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Abstract

In the present paper, a subclass of analytic and bi-univalent functions by means of (p; q)????Chebyshev polynomials is introduced. Certain coe cient bounds for functions belong to this subclass are obtained. Furthermore, the Fekete-Szego problem in this subclass is solved.

Keywords

Analytic functions, bi-univalent functions, Fekete-Szego problem, Chebyshev polynomials, coe cient bounds, subordination.