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>
- factorial and Gamma function