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MathGroup Archive 2005

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Re: Problem with RSolve

  • To: mathgroup at smc.vnet.net
  • Subject: [mg62677] Re: Problem with RSolve
  • From: dh <dh at metrohm.ch>
  • Date: Wed, 30 Nov 2005 22:08:39 -0500 (EST)
  • References: <dmk02k$781$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hi Jean,
Mathematica version 5.1 seems to able to solve the recursion:

{{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}}

Daniel

Jean Guillaume Pyraksos wrote:
> 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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