ON THE CHEBYSHEV POLYNOMIAL COEFFICIENT PROBLEM OFBI-BAZILEVI ̆CFUNCTION

Özet

A function said to be bi-Bazilevi ̆cin the open unit diskUif both the functionand its inverse are Bazilevi ̆cthere. In this paper, we will study a newly constructed classof bi-Bazilevi ̆cfunctions. Furthermore, we establish Chebyshev polynomial bounds forthe coefficients, and get Fekete-Szeg ̈o inequality, for the classB(β,t).