Formula:484

Digital Library of Mathematical Functions ID 1.14.E23

${\displaystyle{\displaystyle{(-1)}^{n}\frac{{\mathrm{d}}^{n}}{{\mathrm{d}s}^{n}}\mathscr{L}\mskip-3.0mu f\mskip 3.0mu \left(s\right)=\mathscr{L}\mskip-3.0mu f_{n}\mskip 3.0mu \left(s\right),}}$

Constraint(s)

${\displaystyle{\displaystyle n=1,2,3,\dots}}$

Symbols List

• ${\displaystyle{\displaystyle\mathscr{L}\left(\NVar{f}\right)\left(\NVar{s}\right)}}$: Laplace transform
• ${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$: derivative of $$f$$ with respect to $$x$$
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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