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Re: [Axiom-math] solving recurrence relations


From: Andrea Bedini
Subject: Re: [Axiom-math] solving recurrence relations
Date: Thu, 7 Oct 2004 00:07:30 +0200
User-agent: Mutt/1.5.6+20040818i

On Wed, Oct 06, 2004 at 01:50:42PM +0000, Martin Rubey wrote:
> does anybody know how to solve recurrence relations in Axiom. In Maple I can
> say, for example
> 
> rsolve(a(n)+n*a(n-1)=0,a(n));
> 
> to obtain
>                            n
>                        (-1)  GAMMA(n + 1) a(0)

just declare it and use it. i think you have to supply the initial
value a(0) :

(1) -> a(0) == 1
                                                                   Type: Void
(2) -> a(n) == - n * a(n-1)
                                                                   Type: Void
(3) -> a(5)
   Compiling function a with type Integer -> Integer
   Compiling function a as a recurrence relation.

   (3)  - 120
                                                                Type: Integer
(4) ->



-- 
Andrea Bedini <address@hidden>

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