Hi,
I am interested in this project and went through the references mentioned 
in the ideas page.

>From What I understood, We are going to represent the holonomic function in 
the form of it's differential equation and will use numerical integration 
methods to find values of the function at a required points. Can all the 
operations listed on Ideas page be implemented without getting the symbolic 
form of the function when it is solvable?

And regarding the conversion of Holonomic to Hypergeometric function, we 
need to expand the holonomic function to a power series. How we can do that 
without having the actual symbolic representation of the function?

How we will handle the special cases when the Holonomic function represents 
an elementary function or a polynomial?

Thanks
Shubham

On Friday, February 19, 2016 at 2:01:16 PM UTC+5:30, Ondřej Čertík wrote:
>
> 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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