Hamburger Moment Problem

A necessary and sufficient condition that there should exist at least one nondecreasing function such that

for , 1, 2, ..., with all the integrals converging, is that sequence ${mu_n}_0^infty$ is positive definite (Widder 1941, p. 129).

This entry contributed by Ronald M. Aarts

Explore with Wolfram|Alpha

More things to try:

References

Widder, D. V. The Laplace Transform. Princeton, NJ: Princeton University Press, 1941.

Referenced on Wolfram|Alpha

Hamburger Moment Problem

Cite this as:

Aarts, Ronald M. "Hamburger Moment Problem." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/HamburgerMomentProblem.html

Subject classifications