Re: Simplify using assumptions and Gamma[*]
- To: mathgroup at smc.vnet.net
- Subject: [mg34777] Re: Simplify using assumptions and Gamma[*]
- From: "Allan Hayes" <hay at haystack.demon.co.uk>
- Date: Thu, 6 Jun 2002 01:55:01 -0400 (EDT)
- References: <adhru1$3uk$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Michael,
FullSimplify[Gamma[n], n > 0 && n \[Element] Integers,
ComplexityFunction -> (Count[#, Gamma, Heads -> True] &)]
(-1 + n)!
--
Allan
---------------------
Allan Hayes
Mathematica Training and Consulting
Leicester UK
www.haystack.demon.co.uk
hay at haystack.demon.co.uk
Voice: +44 (0)116 271 4198
Fax: +44 (0)870 164 0565
"Michael Chang" <michael_chang86 at hotmail.com> wrote in message
news:adhru1$3uk$1 at smc.vnet.net...
> 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
>