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Re: general nth term of series


n00dle0 at yahoo.com wrote:
> Hi,
> 
> Is there a way in mathematica to obtain the general term of a taylor
> series expansion?
> 
> \!\(G[u_, x_] = 1\/v\((1 - 2*x*u + u\^2)\)\)
> 
> Series[G[u, 0], {u, 0, 8}]
> 
> 
> Thanks,
> Ash


Ash,

Use SeriesTerm from the package RSolve:

Needs["DiscreteMath`RSolve`"]

In[15]:=
SeriesTerm[G[u,x],{u,0,n}]//OutputForm

Out[15]//OutputForm=
KroneckerDelta[-2 + n] - 2 x KroneckerDelta[-1 + n] + KroneckerDelta[n]
-----------------------------------------------------------------------
                                    v

Carl Woll
Wolfram Research


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