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MathGroup Archive 2002

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Re: help: recursive functions

  • To: mathgroup at
  • Subject: [mg32620] Re: help: recursive functions
  • From: Erk Jensen <Erk.Jensen at>
  • Date: Fri, 1 Feb 2002 02:02:21 -0500 (EST)
  • References: <a3aqpd$4cv$>
  • Sender: owner-wri-mathgroup at

Okke wrote:
> Hello,
> I'm having some problems with a recursive function.
> Could somebody please help me by telling me how I
> should enter such a function?
> tia,
> This is what I've done so far:
> f[n_]:=Sin[Pi*n*(0.05+(0.0005*n))]
> y[n_]:=1.5*y[n-1]-0.85*y[n-2]+f[n]
> I'm trying to Plot[y[n],{n,0,320}] but that gives me
> an error: $RecursionLimit::reclim: Recursion depth of 256 exceeded.
> btw, is there an option to fill the area under the sine?
> --
> Okke
> remove NOSPAM from my email address to reply

You should at least define y[n_ /; n < 0], otherwise the recursion will of
course be infinite. 

In your example, at n=0 for example Mathematica will try to evaluate. Using your
formula, it will have to evaluate at n=-1 and n=-2. For these, it will try to
evaluate at n=-4, -3, and again -2. For these, it ... and so on - no recursion
limit! Mathematica gives up after $RecursionLimit.

 Dr.-Ing. Erk JENSEN                    mailto:Erk.Jensen at
 CERN  PS/RF  L19510          
 CH-1211 Geneva 23                      Tel.:     +41 22 76 74298
 Switzerland                            Fax.:     +41 22 76 78510

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