The Bound of the Hankel Determinant of the Third Kind for Starlike Functions

In the present paper, the estimate of the third Hankel determinant aligned aligned H3,1(f)&= vmatrix a₁&a₂&a₃ \\ a₂&a₃&a₄ \\ a₃&a₄&a₅ vmatrix aligned aligned for the class of starlike functions, i.e., for the class of analytic functions f standardly normalized such that Re(zf'(z)/f(z)) > 0,\ z∈ D:= ∈ C : |z|<1\, is improved.