In mathematics, the Lebedev–Milin inequality is any of several inequalities for the coefficients of the exponential of a power series, found by and . It was used in the proof of the Bieberbach conjecture, as it shows that the Milin conjecture implies the Robertson conjecture.
They state that if
for complex numbers and , and is a positive integer, then
See also exponential formula (on exponentiation of power series).
References
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(Translation of the 1971 Russian edition, edited by P. L. Duren).