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Re: A question regarding a hyperbolic geometric function

• To: mathgroup at smc.vnet.net
• Subject: [mg86469] Re: A question regarding a hyperbolic geometric function
• From: Phil I <p.ingrey at gmail.com>
• Date: Wed, 12 Mar 2008 00:11:17 -0500 (EST)
• References: <200803100704.CAA24775@smc.vnet.net> <fr5e50$oa2$1@smc.vnet.net>

On Mar 11, 7:59 am, "Ali K. Ozdagli" <ozda... at gmail.com> wrote:
> This would be a nice way to go. I have just checked the Abramowitz and
> Stegun book but unfortunately there are no such transformations for
> Hypergeometric1F1. Does anybody know a transformation for
> Hypergeometric1F1 that can help me solve my numerical accuracy problem
> the way Tony did below. Any other ideas are also appreciated.
>
> Best,
>
> Ali
>
I've been working with the confluent hypergeometrics for a while the
equation you want is:
M[a,b,z] -> (Gamma[b]/Gamma[a])*Exp[z]*z^(a-b)          as z -> inf
[Abramowitz and Stegun equation 13.1.4]
with your x this should be a very good approximation.

Hope this helps

• References:
  • A question regarding a hyperbolic geometric function
    • From: "Ali K. Ozdagli" <ozdagli@gmail.com>