Am Sonntag, den 07.12.2008, 10:26 -0800 schrieb Robert Dodier:
> Tim Lahey wrote:
>
> > I mentioned this before in the context of the Sine Integral, Si(x),
> > but it appears that neither Sage nor Maxima have support for the
> > Sine Integral, Si(x) or the Cosine Integral, Ci(x).
> Dieter, are the Si and Ci functions on your radar?
Yes, I have made a list with all special functions from A&S and I have
extended this list with the functions from functions.wolfram.com.
Furthermore, I started to check if the function is implemented and what
functionality is supported. Therefore I am also interested to extend
e.g. the Bessel functions to support complete bigfloat and complex
bigfloat evaluation. At the end I think I would be nice to have a lot of
more known functions in Maxima and to support the known mathematic for
these functions.
But it is a long way and there is a lot of further work to do.
I have finished a first small implementation of an algorithm to
differentiate and integrate a hypergeometric 0F1 function. I have tested
this approach to integrate the hypergeometric representation of the the
Bessel I function. It works good. Now I am looking for an generalization
to an arbitrary hypergeometric function. There are some small problems I
have to solve to get the code as general as needed.
Dieter Kaiser