Hello,

On Fri, Mar 7, 2014 at 3:29 AM, Avichal Dayal <[email protected]>wrote:
> It would be great if you could look at my proposal (just an initial draft) 
> and give suggestions:-
> https://github.com/sympy/sympy/wiki/GSoC-2014-Application-Avichal-Dayal-Series-Expansion

> Formal Power Series:

What about Lambert series?

> Currently series() returns something like 1 + x + x**2/2 + O(x**3) while
> Mathematica and others are also capable of returning something like
> summation(x**n/factorial(n), (n, 0, oo)).

I'm little surpised.  Can you provide an example of this from
the Mathematica?

> Basic class structure: <--FormalSeries-->

Very unclear.  That's all to say.

> Representation of infinite series: ... I'm planning to represent it
> using ordered term of (coeff, exponent) knows as “lazy evaluation” in
> the literature.

Probably, you should think about multivariable series too.

> We will need a sequence object to represent sequences. This is already
> implemented here:
> https://github.com/goodok/sympy/tree/sequences/sympy/sequences. However
> the code is old and does not play nice with current SymPy structure. I
> plan to re-implement it based on a similar model.

I don't think it's a good idea.  We should have instead a basic
container type (cf. tuple or list) for infinite sequence (take look on
Stream class in the "fn" python package).  Then, we can
wrap it like Tuple or Dict.

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