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MathGroup Archive 2003

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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
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