Stieltjes Moment Problem

In mathematics, the Stieltjes moment problem, named after Thomas Joannes Stieltjes, seeks necessary and sufficient conditions for a sequence (''m''₀, ''m''₁, ''m''₂, ...) to be of the form

:$m_n = \int_0^\infty x^n\,d\mu(x)$

for some measure ''μ''. If such a function ''μ'' exists, one asks whether it is unique.

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