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

Year 2020, Volume: 10 Issue: 1, 251 - 258, 01.01.2020

Ş. Altınkaya S. Yalçin

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.

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