public inbox for gsl-discuss@sourceware.org
 help / color / mirror / Atom feed
From: Brian Gough <bjg@network-theory.co.uk>
To: GSL Discuss Mailing List <gsl-discuss@sourceware.org>
Subject: difficult region for gsl_sf_hyperg_1F1
Date: Tue, 15 Dec 2009 18:36:00 -0000	[thread overview]
Message-ID: <87bpi0gm8m.wl%bjg@network-theory.co.uk> (raw)

We have gsl_sf_hyperg1F1(-37.8, 2.01, 103.58) => -3.16661e+14 +/-
3.31+19 from the series.  Correct answer is -6.21927211009e17(*).
Does anyone know a better algorithm for this region?

http://savannah.gnu.org/bugs/?28267

(*) In pari:

poch(a,x) = { gamma(a+x)/gamma(a) }
t(a,b,x,k) = { (poch(a,k)/poch(b,k)) * (x^k)/(k!) }
suminf(k=0,t(-37.8,2.01,103.58,k))

                 reply	other threads:[~2009-12-15 18:36 UTC|newest]

Thread overview: [no followups] expand[flat|nested]  mbox.gz  Atom feed

Reply instructions:

You may reply publicly to this message via plain-text email
using any one of the following methods:

* Save the following mbox file, import it into your mail client,
  and reply-to-all from there: mbox

  Avoid top-posting and favor interleaved quoting:
  https://en.wikipedia.org/wiki/Posting_style#Interleaved_style

* Reply using the --to, --cc, and --in-reply-to
  switches of git-send-email(1):

  git send-email \
    --in-reply-to=87bpi0gm8m.wl%bjg@network-theory.co.uk \
    --to=bjg@network-theory.co.uk \
    --cc=gsl-discuss@sourceware.org \
    /path/to/YOUR_REPLY

  https://kernel.org/pub/software/scm/git/docs/git-send-email.html

* If your mail client supports setting the In-Reply-To header
  via mailto: links, try the mailto: link
Be sure your reply has a Subject: header at the top and a blank line before the message body.
This is a public inbox, see mirroring instructions
for how to clone and mirror all data and code used for this inbox;
as well as URLs for read-only IMAP folder(s) and NNTP newsgroup(s).