Toeplitz determinants for a certain class of analytic and univalent functions

Abstract

In this manuscript, we define and study a certain class of analytic and univalent functions defined in the open unit disk U. We derive the coefficient estimates for the first four determinants of the symmetric Toeplitz matrices T2(2), T2(3), T3(1) and T3(2) for the functions in this class. Furthermore, certain special cases for our results are also pointed.

Keywords

• toeplitz matrices
• coefficient estimates
• analytic functions
• univalent functions