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factorial and Gamma function


In[23]:= Gamma[1 + t] == t! // FunctionExpand
Out[23]= True

In[26]:= FunctionExpand[n!]
Out[26]= Gamma[1 + n]

In[27]:=
LaplaceTransform[t^n, t, s]
Out[27]=
s^(-1 - n)*Gamma[1 + n]

I wanted as output s^(-1 - n)*n!

Must I define a rule for this or is there a workaround
using a built in function setting like FullSimplify/FunctionExpand?

Dimitris



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