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[Help-gsl] Re: Incomplete Beta function for negative b ?


From: Rodney Sparapani
Subject: [Help-gsl] Re: Incomplete Beta function for negative b ?
Date: Tue, 29 Aug 2006 16:16:28 -0500
User-agent: Thunderbird 1.5.0.5 (X11/20060730)

Lionel B wrote:
Greetings,

I need values of gsl_sf_beta_inc (double a, double b, double x) for 0 < a < 1, -1 < b < 0. The incomplete Beta function is, as far as I know, well-defined in this case.

I'm a bit stumped - haven't managed to find any identities involving B(z;a,b) that work for me here...


Hi Lionel:

I stared at that for way too long before I tried it with Mathematica.
It turns out that the result is based on Hypergeometric 2F1 which are
available in GSL as well.

Rodney





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