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Re: Gauss Hypergeometric function [message #71318]

Wed, 16 June 2010 06:57

Craig Markwardt
Messages: 1869
Registered: November 1996

Senior Member

On Jun 16, 2:42 am, Fred <fedef...@gmail.com> wrote:
> Hello,
>
> I need to use the gauss hypergeometric function 2F1 (for mathematica
> it is onhttp://functions.wolfram.com/HypergeometricFunctions/Hyper geometric2F...
> it is the solution of the indefinite integral (1+ (x*L)^2)^(-q/2),
> with L and q positive constants; it seems not to be implemented in
> IDL. I have found some routines for the confluent hypergeometric
> function of the first kind. Has anybody a routine to reproduce this
> function without using the series expansion? Thanks for your attention

In certain special cases the function you mention evaluates to IDL
built-in functions. See:
http://dlmf.nist.gov/15.4

Other than that, I think your best bet is the Gnu Scientific Library.

Craig

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