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Re: What is the limit of x Gamma[n,x] for x->Infinity?
*To*: mathgroup at smc.vnet.net
*Subject*: [mg43994] Re: What is the limit of x Gamma[n,x] for x->Infinity?
*From*: Paul Abbott <paul at physics.uwa.edu.au>
*Date*: Thu, 16 Oct 2003 04:17:17 -0400 (EDT)
*Organization*: The University of Western Australia
*References*: <bmj2qp$prv$1@smc.vnet.net>
*Sender*: owner-wri-mathgroup at wolfram.com
In article <bmj2qp$prv$1 at smc.vnet.net>, xavier.brusset at free.fr (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?
Compute the asymptotic series of Gamma[n, x],
Series[Gamma[n, x], {x, Infinity, 2}]
and then multiply by x.
x Normal[%]
Cheers,
Paul
--
Paul Abbott Phone: +61 8 9380 2734
School of Physics, M013 Fax: +61 8 9380 1014
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Crawley WA 6009 mailto:paul at physics.uwa.edu.au
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