Inverse laplace transform pf infinite product !

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  • Thread starter Maszenka
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  • #1
Maszenka
1
0
I have to do inverse laplace transform of infinite product that is shown below. Can somebody help me with that?
Screenshot_20210513-190516_Messenger.jpg
 

Answers and Replies

  • #2
romsek
30
0
\(\displaystyle g(t) =\dfrac{ e^{-nt}}{(n-1)!} (e^t-1)^{n-1}\)

I suspect it can be proven using induction. Have a go.
 

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