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Fourier-Mellin Integral


The inverse of the Laplace transform

F(t)=L^(-1)[f(s)]
(1)
=1/(2pii)int_(gamma-iinfty)^(gamma+iinfty)e^(st)f(s)ds
(2)
f(s)=L[F(t)]
(3)
=int_0^inftyF(t)e^(-st)dt.
(4)

See also

Bromwich Integral, Laplace Transform

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Cite this as:

Weisstein, Eric W. "Fourier-Mellin Integral." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Fourier-MellinIntegral.html

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