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[Bug-gsl] gsl_sf_hyperg_1F1 bug


From: Andrew Silberfarb
Subject: [Bug-gsl] gsl_sf_hyperg_1F1 bug
Date: Wed, 9 Nov 2005 19:12:37 -0700

This function erroneously negates its return values for some specific arguments.

Specifically when
a is a negative integer
b = -.5

The return value is incorrect. Presumably this is due to special case handling in the function as for negative integral a the 1F1 hypergeometric function reduces to a Laguerre polynomial.

This error can also be seen by plotting the function value versus a, and noticing a discontinuity at negative integer values.





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