Difference between revisions of "Laplace transform"
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Revision as of 23:36, 18 October 2014
Let $f \colon \mathbb{R} \rightarrow \mathbb{C}$ be a function, then the Laplace transform of $f$ is the function defined by $$\mathscr{L}\{f\}(z) = \displaystyle\int_0^{\infty} e^{-zt}f(t) dt.$$
