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MathGroup Archive 2004

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Re: Odd result from Sum

  • To: mathgroup at smc.vnet.net
  • Subject: [mg49702] Re: [mg49673] Odd result from Sum
  • From: János <janos.lobb at yale.edu>
  • Date: Thu, 29 Jul 2004 07:43:14 -0400 (EDT)
  • References: <200407271100.HAA11169@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Can you go from -Infinity ?
Then it does not look so frightening:

Sum[(-1)^n*((2*n + 1)/
      ( z^2 + n*((n + 1)/2))),
    {n, -Infinity, Infinity}]

\!\(\(-2\)\ \((¹\ Cot[\(3\
       ¹\)\/4 - 1\/4\ ¹\ \@\(1 - 8\ z\^2\)] + ¹\
               Cot[\(3\ ¹\)\/4 + 1\/4\ ¹\ \@\(1 - 8\ z\^2\)])\)\)

J?nos
On Jul 27, 2004, at 7:00 AM, Richard Gass wrote:

> Sum[(-1)^n*((2*n + 1)/
>      (z^2 + n*((n + 1)/2))),
>    {n, 0, Infinity}]
-------------------------------------------------
People never lie so much as after a
hunt, during a war or before an election
- Otto von Bismarck -


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