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Unilateral Laplace Transform

A unilateral Laplace transform is a one-sided (singly infinite) Laplace transform,

L_t[f(t)](s)=int_0^inftyf(t)e^(-st)dt.

This is the most common variety of Laplace transform and is what is usually meant by "the" Laplace transform. The unilateral Laplace transform L_t[f(t)](s) is implemented in the Wolfram Language as LaplaceTransform[expr, t, s].

See also

Bilateral Laplace Transform, Laplace Transform

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References

Oppenheim, A. V.; Willsky, A. S.; and Nawab, S. H. Signals and Systems, 2nd ed. Upper Saddle River, NJ: Prentice-Hall, 1997.

Referenced on Wolfram|Alpha

Unilateral Laplace Transform

Cite this as:

Weisstein, Eric W. "Unilateral Laplace Transform." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/UnilateralLaplaceTransform.html

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