SECOND HANKEL DETERMINAT FOR CERTAIN ANALYTIC FUNCTIONS SATISFYING SUBORDINATE CONDITION.

In this paper, we introduce and investigate the following subclass ... of analytic functions, ┅ is an analytic function with positive real part in the unit disk D, satisfying ┅(0) = 1, ┅(0) > 0, and ┅(D) is symmetric with respect to the real axis. We obtain the upper bound of the second Hankel determinant a₂a₄-a2/3 -- for functions belonging to the this class is studied using Toeplitz determinants. The results, which are presented in this paper, would generalize those in related works of several earlier authors. [ABSTRACT FROM AUTHOR]