Services & ResourcesWolfram ForumsMathGroup Archive

[Date Index] [Thread Index] [Author Index]

Re: general nth term of series

• To: mathgroup at smc.vnet.net
• Subject: [mg62942] Re: [mg62921] general nth term of series
• From: "Carl K. Woll" <carlw at wolfram.com>
• Date: Fri, 9 Dec 2005 05:10:23 -0500 (EST)
• References: <200512080827.DAA17935@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

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

• References:
  • general nth term of series
    • From: "n00dle0@yahoo.com" <n00dle0@yahoo.com>