Re: Harmonic Numbers
- To: mathgroup at smc.vnet.net
- Subject: [mg107912] Re: Harmonic Numbers
- From: "Fabrice P. Laussy" <fabrice.laussy at google.mail.com>
- Date: Tue, 2 Mar 2010 07:55:01 -0500 (EST)
- References: <hmikua$54l$1@smc.vnet.net>
Chris H. Fleming wrote:
> Sum[k/((k^2 + 1) (k^2 + 4)), {k, 1, \[Infinity]}]
>
> Sum does not converge.
[...]
> Fortunately I know how to do this sum by hand, but Mathematica can
> usually handle these Harmonic number functions pretty well.
What result do you get by hand?
What Mathematica version to you have? V°7.0.0 returns the result as the
roots of a quartic polynomial over the polygamma function.