Subject: entering hypergeometric functions in maxima
From: Raymond Toy
Date: Thu, 17 May 2007 12:30:35 -0400
Dlubek Michal wrote:
>> AFAIK, Maxima doesn't know how to evaluate hypergeometric functions
>> except in very special cases, where the hypergeometric reduces to some
>> other function. %f is the hypergeometric function, and hgfred is the
>> function that tries to reduce a hypergeometric function to a "simpler"
>> function.
>
>> However, Bill Gosper sent some code to evaluate some hypergeometrics,
>> and some of it works, but not all. It's in the mailing list archives
>> somewhere.
>
>> Ray
>
> Hello Ray,
> Thank you for your answer.
> Would it mean that the only two functions in standard Maxima packages
> dealing with hypergeometrics are %f and hgfred and the first one could
> be used only to feed the other? I was kind of hoping that there could be
That's basically the current state of things. I have wanted to make %f
do more, including evaluation, but I didn't have a good method for
numerical evaluation. Having %f simplify to simpler functions is
sometimes also nice, but sometimes not.
I basically got stuck at these points and haven't done anything with them.
Ray
P.S. I'm not the author of the hypergeometric stuff. I just play with it.