Abstract: LetS*_l denote the class of analytic functions f(z) in the open unit disk D={z: |z|<1} normalized by f(0)=f′(0)-1=0. We investigated the forth\|order Toeplitz determinant T₄(2) for this function class S*_l and gave the upper bound estimate of the determinant T₄(2).

Key words: analytic function, Toeplitz determinant, exponential function, upper bound