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Re: Hypergeometric functions [message #27649 is a reply to message #27519] Mon, 29 October 2001 19:47 Go to previous message
Craig Markwardt is currently offline  Craig Markwardt
Messages: 1869
Registered: November 1996
Senior Member
Ralf Flicker <rflicker@gemini.edu> writes:

> Does anybody know of an available IDL implementation for
> generalized hypergeometric functions ? I need in particular
> 2F3(a,b;c,d,e;z^2), which is absolutely convergent for all real
> z. I can't seem to find anything among the standard sources, but
> thought I'd check here before I start coding it myself.

Hi Ralf--

I see you haven't gotten a response to this question for the past
several days. I think the answer is that IDL is pretty weak on
special functions, although it does have a few.

However, the particular hypergeometric function you are seeking is
rather esoteric. I cannot find it in the GNU scientific library, nor
in CEPHES. These are two C libraries of special functions. [ Nor,
for that matter, can I find it cursorily in Abramowitz & Stegun. ] It
looks like you will have to code this yourself.

If it's really convergent then it should be rather simple to code the
series directly.

Craig

--
------------------------------------------------------------ --------------
Craig B. Markwardt, Ph.D. EMAIL: craigmnet@cow.physics.wisc.edu
Astrophysics, IDL, Finance, Derivatives | Remove "net" for better response
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