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[Bug-gsl] gsl_sf_hyperg_2F1

From: Olaf Wucknitz
Subject: [Bug-gsl] gsl_sf_hyperg_2F1
Date: Mon, 4 Sep 2006 11:11:52 +0200 (CEST)


I am having a problem with gsl_sf_hyperg_2F1.
With the parameters (-0.5, 0.5, 1, x) the returned values show a jump at 
x=0.5. For x<0.5 the results seem to be correct, while for x>0.5 they 
The function gsl_sf_hyperg_2F1_e calls hyperg_2F1_series for x<0.5, but
hyperg_2F1_reflect for x>0.5. The latter function checks for c-a-b being 
an integer (which it is in my case). If I change one of the parameters 
a,b,c by a small amount, the other branch of the function is taken and the 
results are correct again.
Unfortunately I know too little about the numerics of 2F1 to suggest a 
patch at the moment.

Olaf Wucknitz
Joint Institute for VLBI in Europe                address@hidden

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