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MathGroup Archive 1996

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bugs in "Algebra`SymbolicSum`" ???

  • To: mathgroup at smc.vnet.net
  • Subject: [mg4055] bugs in "Algebra`SymbolicSum`" ???
  • From: Pasquale Nardone <pnardon at ulb.ac.be>
  • Date: Thu, 30 May 1996 02:48:34 -0400
  • Organization: Université Libre de Bruxelles
  • Sender: owner-wri-mathgroup at wolfram.com

hi, here is my stupid problem:
Needs["Algebra`SymbolicSum`"]
the sum:
xxx=(1/4)*Sum[1/(k^2+1/4),{k,0,n}]
gives
((1 + n)*(2 + Pi*Coth[Pi/2] - I*PolyGamma[0, 1 - I/2 + n] + I*PolyGamma[0, 1 + I/2 + n]))/4

while the sum
yyy=Sum[1/(4*k^2+1),{k,0,n}]
gives

(2 + Pi*Coth[Pi/2] - I*PolyGamma[0, 1 - I/2 + n] + I*PolyGamma[0, 1 + I/2 + n])/4

the ratio 
xxx/yyy
gives 
1+n

instead of 1

Strange!!!!
Any ideas??


--------------------------------------------
 Pasquale Nardone                          *
                                           *
 Université Libre de Bruxelles             *
 CP 231, Sciences-Physique                 *
 Bld du Triomphe                           *
 1050 Bruxelles, Belgium                   *
 tel: 650,55,15 fax: 650,57,67 (+32,2)     *
        ,,,
       (o o)
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