Using RSolve
- To: mathgroup at smc.vnet.net
- Subject: [mg9074] Using RSolve
- From: "Nguyen N. Anh" <anh at chm.ulaval.ca>
- Date: Thu, 9 Oct 1997 01:42:53 -0400
- Sender: owner-wri-mathgroup at wolfram.com
We have the following problem:
<< DiscreteMath`RSolve`
In[4]:= RSolve[{a[n+1]==(n+1) a[n],a[0]==C},a[n],n]
Out[4]= {{a[n] -> C n!}}
This is OK.
Suppose now that we want to solve the following:
In[5]:= RSolve[{a[n+1]==(n+1) a[n] b[n],a[0]==C},a[n],n]
with b[n] being symbolically a vector of parameters (not specified by a
recurence relation), then we obtain
Out[5]= RSolve[{a[n + 1] == (n + 1) a[n] b[n], a[0] == C}, a[n], n]
i.e. RSolve does not work in this case.
How to make this work (we want to absolutely keep b[n] in its symbolic form,
i.e. to avoid prescribing a specific n-dependence for it)?
Expected:
Out[5]= {{a[n] -> C n! Product[b[i], {i, 0, n}]}}
Thank you for your help
--
Nguyen Nam Anh Quebec, Canada
E-mail: anh at chm.ulaval.ca
WWW: http://promethium.chm.ulaval.ca/~anh/