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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