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Bromwich Integral

The inverse of the Laplace transform, given by

F(t)=1/(2pii)int_(gamma-iinfty)^(gamma+iinfty)e^(st)f(s)ds,

where gamma is a vertical contour in the complex plane chosen so that all singularities of f(s) are to the left of it.

See also

Laplace Transform

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References

Arfken, G. "Inverse Laplace Transformation." §15.12 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 853-861, 1985.

Referenced on Wolfram|Alpha

Bromwich Integral

Cite this as:

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

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