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MathGroup Archive 2005

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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
| 



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