Re: factorial and Gamma function
- To: mathgroup at smc.vnet.net
- Subject: [mg77128] Re: factorial and Gamma function
- From: roland franzius <roland.franzius at uos.de>
- Date: Mon, 4 Jun 2007 03:54:21 -0400 (EDT)
- Organization: Universitaet Hannover
- References: <f3u56o$435$1@smc.vnet.net>
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? Assuming[n > 0 && n \[Element] Integers, LaplaceTransform[t^n, t, s] // FullSimplify] -- Roland Franzius