Fekete–Szegő inequality
Encyclopedia
In mathematics, the Fekete–Szegő inequality is an inequality for the coefficients of univalent
analytic functions found by , 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
is a univalent analytic function on the unit disk and 0 ≤ λ < 1, then
Univalent function
In mathematics, in the branch of complex analysis, a holomorphic function on an open subset of the complex plane is called univalent if it is one-to-one.- Examples:...
analytic functions found by , 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
is a univalent analytic function on the unit disk and 0 ≤ λ < 1, then