Hi,

I've added a project idea here:

https://github.com/sympy/sympy/wiki/GSoC-2016-Ideas#implement-holonomic-functions

I would really like to have this capability in SymPy.

I think it should allow a robust symbolic integration of a large class
of functions, as well as analytic series expansion (having a
recurrence relation for the Taylor coefficients, and there are
algorithms to get a closed formula from it).

Ondrej

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