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factorial and Gamma function

• To: mathgroup at smc.vnet.net
• Subject: [mg77102] factorial and Gamma function
• From: dimitris <dimmechan at yahoo.com>
• Date: Sun, 3 Jun 2007 06:16:51 -0400 (EDT)

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

• Follow-Ups:
  • Re: factorial and Gamma function
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>