Re: Simplify using assumptions and Gamma[*]

*To*: mathgroup at smc.vnet.net*Subject*: [mg34763] Re: Simplify using assumptions and Gamma[*]*From*: Peter Pein <petsie at arcor.de>*Date*: Wed, 5 Jun 2002 03:38:23 -0400 (EDT)*References*: <adhru1$3uk$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Michael Chang wrote: > Hi, > > Since the Euler Gamma function is (n-1)! for n>=1 and n an integer, I > was wondering why > > FullSimplify[Gamma[n], n>=1 && n \[Element] Integers] > > does not evaluate to (n-1)! ? Am I missing something here? > > Am I using the Assumptions capability incorrectly? > > Many thanks in advance, > > Michael > Hi Michael, I'm not sure, but Gamma[n] is a function of one variable, while (n-1)! is a funtion of the difference of a variable and a constant. So the latter has a more complicated internal representation, i.e. Gamma[n] is simpler. Simple isn't it? Or am I wrong? Where are the gurus? ;-) Peter