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[Bug-gsl] Bug in special functions ellint.c


From: Sascha Merz
Subject: [Bug-gsl] Bug in special functions ellint.c
Date: Fri, 28 Nov 2008 07:50:11 +1100
User-agent: Thunderbird 1.5.0.14 (X11/20060911)

Dear Sir/Madam,

there is a bug in the file ellint.c, lines 486, 487, function
gsl_sf_ellint_Kcomp_e. The elliptic integral is not computed correctly
near 1.0, since the coefficients in the arrays a and b are wrong. They
are not as given in Abramowitz and Stegun, equation 17.3.33. Also
computation of ta and tb is not as in Abramowitz and Stegun.

Best regards,
Sascha


-- 
Sascha Merz
PhD Student
School of Mechanical and Manufacturing Engineering
University of New South Wales, SYDNEY NSW 2052 AUSTRALIA
Ph: +61 (2) 9385 6864





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