Re:"serie"
- To: mathgroup at smc.vnet.net
- Subject: [mg30216] Re:"serie"
- From: seidovzf at yahoo.com (Zakir F. Seidov)
- Date: Thu, 2 Aug 2001 03:16:10 -0400 (EDT)
- References: <9k5ql9$h9m$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
At arbitary k this Sum is a function of complex argument:
S = 1/2*(1 + Pi*Coth[Pi] -
I*(HarmonicNumber[-I + k] - HarmonicNumber[I + k]))
With k->Infinity
S -> 1/2*(1 + Pi*Coth[Pi])=
2.076674047468581174134050794750000490446.
Zak
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Subject: [mg30216] serie
Author: Ahmet Mutlu <ahmet at ata.cs.hun.edu.tr>
Organization: Steven M. Christensen and Associates, Inc and
MathTensor, Inc.
hi
what is the sum
for i:=1 to k
total = total + 1/(i^2 + 1)
i mean, a formal sum.