DLMF:1.14.E28 (Q520)

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DLMF:1.14.E28
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    ( f ) ( s ) = s ( f ) ( s ) - f ( 0 + ) - k = 1 n e - s t k ( f ( t k + ) - f ( t k - ) ) . Laplace-transform superscript 𝑓 𝑠 𝑠 Laplace-transform 𝑓 𝑠 𝑓 limit-from 0 subscript superscript 𝑛 𝑘 1 superscript 𝑒 𝑠 subscript 𝑡 𝑘 𝑓 limit-from subscript 𝑡 𝑘 𝑓 limit-from subscript 𝑡 𝑘 {\displaystyle{\displaystyle\mathscr{L}\left(f^{\prime}\right)\left(s\right)=s% \mathscr{L}\left(f\right)\left(s\right)-f(0+)-\sum^{n}_{k=1}e^{-st_{k}}(f(t_{k% }+)-f(t_{k}-)).}}
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