On the Chebyshev polynomial coefficient problem of bi-Bazilevi? functions

Abstract

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