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Re: factorial and Gamma function

• To: mathgroup at smc.vnet.net
• Subject: [mg77106] Re: [mg77102] factorial and Gamma function
• From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
• Date: Mon, 4 Jun 2007 03:42:58 -0400 (EDT)
• References: <200706031016.GAA03063@smc.vnet.net>

On 3 Jun 2007, at 19:16, dimitris wrote:

> 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
>
>


  FullSimplify[LaplaceTransform[t^n, t, s], Element[n, Integers] && n  
 >= 0]

s^(-n - 1)*n!

Andrzej Kozlowski

• References:
  • factorial and Gamma function
    • From: dimitris <dimmechan@yahoo.com>