Re: Simplify using assumptions and Gamma[*]

*To*: mathgroup at smc.vnet.net*Subject*: [mg34762] Re: Simplify using assumptions and Gamma[*]*From*: "Carl K. Woll" <carlw at u.washington.edu>*Date*: Wed, 5 Jun 2002 03:38:21 -0400 (EDT)*References*: <adhru1$3uk$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Michael, Notice that Gamma[n] has fewer leaves than (n-1)!, so FullSimplify returns Gamma[n]. If you try the following FullSimplify[Gamma[n+1], n>0 && n \[Element] Integers] you will get n! Carl Woll Physics Dept U of Washington ----- Original Message ----- From: "Michael Chang" <michael_chang86 at hotmail.com> To: mathgroup at smc.vnet.net Subject: [mg34762] Simplify using assumptions and Gamma[*] > 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 >