ON THE CHEBYSHEV POLYNOMIAL COEFFICIENT PROBLEM OF BI-BAZILEVI  C FUNCTIONS

Ş. Altınkaya, S. Yalçin

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Abstract

A function said to be bi-Bazilevic in the open unit disk U if both the function and its inverse are Bazilevic there. In this paper, we will study a newly constructed class of bi-Bazilevic functions. Furthermore, we establish Chebyshev polynomial bounds for the coecients, and get Fekete-Szego inequality, for the class B(; t).

Keywords

Chebyshev polynomials, analytic and univalent functions, bi-univalent functions, bi-Bazilevic functions, coecient bounds, subordination, Fekete-Szego inequality.