Re: Problem with RSolve
- To: mathgroup at smc.vnet.net
- Subject: [mg62674] Re: Problem with RSolve
- From: "Jens-Peer Kuska" <kuska at informatik.uni-leipzig.de>
- Date: Wed, 30 Nov 2005 22:08:34 -0500 (EST)
- Organization: Uni Leipzig
- References: <dmk02k$781$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Hi,
Mathematicas RSolve[] has beeen improved in
version 5
and
RSolve[{c[n] == c[n - 1] + (n^2) Log[n], c[0] ==
0}, c[n], n]
gives
{c[n] -> (-69*n - 57*n^2 - 14*n^3 + 36*Log[Gamma[1
+ n]] +
72*n*Log[Gamma[1 + n]] + 36*n^2*Log[Gamma[1 +
n]] -
36*Log[Gamma[2 + n]] - 72*n*Log[Gamma[2 + n]] -
36*n^2*Log[Gamma[2 + n]] - 36*Derivative[1,
0][Zeta][-2, 2] +
36*Derivative[1, 0][Zeta][-2, 2 + n])/36}}
Regards
Jens
"Jean Guillaume Pyraksos" <wissme at hotmail.com>
schrieb im Newsbeitrag
news:dmk02k$781$1 at smc.vnet.net...
|I can't get this one solved, can you help ?
|
| RSolve[{c[n] == c[n - 1] + (n^2) Log[n], c[0] ==
0}, c[n], n]
|
| I am interested in the principal part of c[n],
which should be 1/2 n^2
| Log[n]^2 ?...
|
| Thanks, using Mathematica 4.1.0.0
|
| JG
|