Abstract
Let f be analytic in D={z:|z|<1} with f(0)=0 and f'(0)=1. We give sharp bounds for the second Hankel determinant of f, when f is starlike of order alpha in D.
Coefficient bounds & claims (2)
Machine-extracted from the paper text - useful for cross-referencing, not a verified fact.
coefficient_bound
H2(2) = |a2*a4 - a3^2| ≤ (1 - alpha)**2 for class S*(alpha) (sharp) [Theorem]
function_family
Class S*(alpha): f in S with Re(z*f'(z)/f(z)) > alpha for 0 <= alpha < 1; S*(0) = S* (standard starlike)
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