Re: [boost] [math] Contribution and TODO-list implementation.

Subject: Re: [boost] [math] Contribution and TODO-list implementation.
From: Christopher Kormanyos (e_float_at_[hidden])
Date: 2013-11-05 15:34:32

> To add to those are the hypergeometric functions 1F1 and 2F1, note however 
> that these are not only hard to implement well, but they are practically 
> untestable (too many arguments).  Unfortunately they are also very useful! 
> A good research project though...

I just found this thesis today on the net.

http://people.maths.ox.ac.uk/porterm/research/pearson_final.pdf

The guy calculates 1F1(a, b; z) and 2F1(a, b, c; z) for
a,b,c *in* R, and z *in* C. He uses many numerical techniques.
It might be fascinating to extend his research to template
code in Boost and certain domains of
 multiple-precision.

Just an idea, if there is still any interest in kicking around
ideas.

Sincerely, Chris




On Friday, November 1, 2013 1:12 PM, John Maddock <john_at_[hidden]> wrote:
 
> In addition to John's detailed responses... I've got a few ideas for 
> Boost.Math that might be acceptable for the scope of
> your project. I would be interested in looking into new functions such as 
> those related to the Lerch transcendental
> (Zeta, Hurwitz Zeta, Polygamma for wider argument range, etc.).

To add to those are the hypergeometric functions 1F1 and 2F1, note however 
that these are not only hard to implement well, but they are practically 
untestable (too many arguments).  Unfortunately they are also very useful! 
A good research project though...


John. 


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