Fekete–Szegő inequality

Template:Short description In mathematics, the Fekete–Szegő inequality is an inequality for the coefficients of univalent analytic functions found by Template:Harvs, related to the Bieberbach conjecture. Finding similar estimates for other classes of functions is called the Fekete–Szegő problem.

The Fekete–Szegő inequality states that if

$f(z)=z+a_2{z}^2+a_3{z}^3+\cdots$

is a univalent analytic function on the unit disk and $0\le \lambda <1$, then

$|a_3-\lambda a_2^2|\le 1+2\exp (-2\lambda /(1-\lambda )).$

References

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