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Gauss Hypergeometric function [message #71324]

Tue, 15 June 2010 23:42

Fred[1]
Messages: 4
Registered: April 2010

Junior Member

Hello,

I need to use the gauss hypergeometric function 2F1 (for mathematica
it is on http://functions.wolfram.com/HypergeometricFunctions/Hyperge ometric2F1/);
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

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Re: Gauss Hypergeometric function [message #71416 is a reply to message #71324]

Wed, 16 June 2010 08:43

jeffnettles4870
Messages: 111
Registered: October 2006

Senior Member

This website crashed firefox for me twice (running on Win 7)...anybody
else have that problem?

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Re: Gauss Hypergeometric function [message #71417 is a reply to message #71324]

Wed, 16 June 2010 07:56

Kenneth P. Bowman
Messages: 585
Registered: May 2000

Senior Member

In article
<930cbdbd-ac25-4bd3-b6cc-9da98b44f876@6g2000prg.googlegroups.com>,
Fred <fedefras@gmail.com> wrote:

> Hello,
>
> I need to use the gauss hypergeometric function 2F1 (for mathematica
> it is on http://functions.wolfram.com/HypergeometricFunctions/Hyperge ometric2F1/);
> 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

On a related note, the successor to the classic book by Abramowitz and
Stegun and special functions is now online at NIST.

http://dlmf.nist.gov/

Many of us have the original volume propping up one end of our bookshelves.

The special function capabilities of the IDL IMSL library are somewhat
limited, although some functions are available elsewhere in IDL (e.g.,
Legendre and Lagurre functions).

Ken Bowman

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