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MathGroup Archive 2002

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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
>




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