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Re: [Bug-gsl] [bug #43258] confluent hypergeometric functions


From: Patrick Alken
Subject: Re: [Bug-gsl] [bug #43258] confluent hypergeometric functions
Date: Fri, 19 Sep 2014 10:19:13 -0600
User-agent: Mozilla/5.0 (X11; Linux x86_64; rv:24.0) Gecko/20100101 Thunderbird/24.8.0

Thanks for your report. If you manage to fix some of these cases, we are happy to accept a patch

On 09/19/2014 10:17 AM, Patrick Alken wrote:
URL:
   <http://savannah.gnu.org/bugs/?43258>

                  Summary: confluent hypergeometric functions
                  Project: GNU Scientific Library
             Submitted by: psa
             Submitted on: Fri 19 Sep 2014 04:17:55 PM GMT
                 Category: Runtime error
                 Severity: 3 - Normal
         Operating System:
                   Status: None
              Assigned to: None
              Open/Closed: Open
                  Release:
          Discussion Lock: Any

     _______________________________________________________

Details:

 From raymond dot rogers72 =at= gmail dot com

If you will check you will find that
hyperg_U.c   fails for U(a,a-1,1)  a>5
hyperg_U.c   fails for U(2,b,1) for b< -2  (with occasional holes due to
rounding)
These can be checked through gsl-shell, gsl-shell-gui, or I have a
command line interface.

I believe there is a choke point for the error at the start of
hyperg_U_series.  There are a couple of sources to it and a couple of
crashes afterwards.  A fix should be 13.2.8 in DLMF.   I would like to
discuss this with somebody who has experience with this code before I
spend much time on the fix.
This should also fix a couple of "unimplemented cases"
I also have a spreadsheet and program comparing test cases from GSL,
mpmath,  and DAMath; for Confluent Hypergeometric tests.  Not complete
yet but it 700 (or so) instances.





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