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Inverse laplace transform pf infinite product please help!

Maszenka

New member
May 13, 2021
1
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
 

romsek

New member
Mar 27, 2017
3
\(\displaystyle g(t) =\dfrac{ e^{-nt}}{(n-1)!} (e^t-1)^{n-1}\)

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