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MathGroup Archive 2001

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Re: serie

  • To: mathgroup at smc.vnet.net
  • Subject: [mg30158] Re: serie
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Wed, 1 Aug 2001 02:19:13 -0400 (EDT)
  • Organization: Universitaet Leipzig
  • References: <9k5ql9$h9m$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

In[]:=Sum[1/(i^2 + 1), {i, 1, k}] // FullSimplify

Out[]=(-1 + Pi*Coth[Pi] - I*HarmonicNumber[-I + k] + 
  I*HarmonicNumber[I + k])/2


Ahmet Mutlu wrote:
> 
> hi
> what is the sum
> 
> for i:=1 to k
>     total = total + 1/(i^2 + 1)
> 
> i mean, a formal sum.


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