Title of article :
ON THE CHEBYSHEV POLYNOMIAL COEFFICIENT PROBLEM OF BI-BAZILEVIC˘ FUNCTIONS
Author/Authors :
ALTINKAYA, S Department of Mathematics - Faculty of Arts and Science - Uludag University - Bursa, Turkey , YALCIN, S Department of Mathematics - Faculty of Arts and Science - Uludag University - Bursa, Turkey
Abstract :
A function said to be bi-Bazilevi˘c in the open unit disk U if both the function
and its inverse are Bazilevi˘c there. In this paper, we will study a newly constructed class
of bi-Bazilevi˘c functions. Furthermore, we establish Chebyshev polynomial bounds for
the coefficients, and get Fekete-Szeg¨o inequality, for the class B(β, t).
Keywords :
Chebyshev polynomials , analytic and univalent functions , bi-univalent functions , bi-Bazilevic functions , coefficient bounds , subordination , Fekete-Szego inequality
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
