Symbolics in Sage

These pages are aimed at developers of symbolics functionality in Sage. If you're interested in helping out with any of the items below please contact the sage-devel googlegroup or the people already working on your item of interest.

Pynac and Maxima based symbolics

Most symbolics functionality in Sage relies on Maxima. While Maxima is a very mature and capable software package, there are some problems with using it in Sage. Namely,

To provide a better framework for symbolics in Sage, and to make implementation of new symbolics functionality that relies on components of Sage easier; we created a fork of the C++ library GiNaC, called Pynac, which works with Python types. There are still some low level changes required in Pynac before it can be used as a basis for symbolics in Sage, we keep track of these at the Pynac todo list.

With the switch to Pynac based symbolics, it will be possible to implement native functionality in Sage. Here is a brief list of areas that need work.

TODO

Some of the functionality listed above is provided by Maxima wrappers at the moment.

m}(\frac{n}{2}+1)_m} \,_2 F_1 \left( \begin{array}{cc} m+1, m+n \\ m+ \frac{n}{2} +1 \end{array} ; \frac{1}{2} \right) = \frac{2^{n-1} \Gamma(\frac{n}{2} +1) \Gamma(\frac{m}{2} + \frac{n}{2})}{\Gamma(\frac{m}{2} + 1)\Gamma(n)}$$