Re: What is the limit of x Gamma[n,x] for x->Infinity?
- To: mathgroup at smc.vnet.net
- Subject: [mg43965] Re: What is the limit of x Gamma[n,x] for x->Infinity?
- From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
- Date: Thu, 16 Oct 2003 04:15:59 -0400 (EDT)
- Organization: Universitaet Leipzig
- References: <email@example.com>
- Reply-to: kuska at informatik.uni-leipzig.de
- Sender: owner-wri-mathgroup at wolfram.com
Hi, my Abramowitz/Stegun say Gamma[a,x]= x^(a-1)*Exp[-x]*(1+(a-1)/x+ (a-1)*(a-2)/x^2+ ..) and x Gamma[a,x] should be asymtotic run as x^a *Exp[-x] an the limit is (beside strage a's) zero .. Regards Jens Xavier wrote: > > If Gamma[n,x] is the incomplete Gamma function, what is the limit of > that function times x when x tends to infinity? > > At first blush this limit is indefinite since Gamma[n,x] ->0 when > x->Infinity. > > Any help is welcome!!! > Thanks > Xavier