Some coefficient inequalities related to the Hankel determinant for strongly starlike functions of order alpha

In the present paper, the estimate of the Hankel determinant H3,1( f) :=  a1 a2 a3 a2 a3 a4 a3 a4 a5  over the class S ∗ α, 0 < α ⩽1, of analytic functions f with an := f (n)(0)/n!, n ∈N ∪{0}, such that |arg(z f ′(z)/f(z))| < απ/2 for z ∈D := {z ∈C : |z| < 1}, is examined. Mathematics subject classification (2010): 30C45.