Laplace transform

In mathematics and in particular, in functional analysis, the Laplace transform of a function f(t) defined for all real numbers t ≥ 0 is the function F(s), defined by:

(-1)^{n} F^{(n)}(s)

• Frequency integration

: mathcal{L}left{ rac{f(t)}{t} ight} = int_s^infty F(sigma), dsigma

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• Integration

: mathcal{L}left{ int_0^t f( au), d au ight}

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