Formula:490

Digital Library of Mathematical Functions ID 1.14.E29

${\displaystyle{\displaystyle\mathscr{L}\left(f^{(n)}\right)\left(s\right)=s^{n}\mathscr{L}\left(f\right)\left(s\right)-s^{n-1}f(0+)-s^{n-2}f^{\prime}(0+)-\dots-f^{(n-1)}(0+).}}$

Symbols List

• ${\displaystyle{\displaystyle\mathscr{L}\left(\NVar{f}\right)\left(\NVar{s}\right)}}$: Laplace transform
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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