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MathGroup Archive 2005

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Product {for p=2 to infinity} (p^2+1)/(p^2-1)

  • To: mathgroup at smc.vnet.net
  • Subject: [mg53937] Product {for p=2 to infinity} (p^2+1)/(p^2-1)
  • From: seidovzf at yahoo.com (Zak Seidov)
  • Date: Fri, 4 Feb 2005 04:12:17 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Dear Math gurus,
I try to copy Math session:
\!\(FullSimplify[\[Product]\+\(p = 2\)\%\[Infinity]\((\(p\^2 +
1\)\/\(p\^2 - \1\))\)]
n  Sinh[\[Pi]]\/\[Pi]\),
that is,
 Product {for p=2 to infinity} (p^2+1)/(p^2-1)=>
sinh(pi)/pi=3.67608 -
is it OK,
or this should be 3/2?
Please email me your help:
seidovzf at yahoo.com

Many thanks,
Zak


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