how to evaluate recursive function

• Subject: how to evaluate recursive function
• From: Hugo Coolens
• Date: Thu, 12 May 2011 12:28:23 +0200

I defined the following recursive formula:
a(m):= if m=0 then 1 else if m=-1 then 0 else if mod(m,2)=1 then (z(m)*a(m-1)+a(m-2)) else (y(m)*a(m-1)+a(m-2))

this gives me the expected expressions for different values of m e.g.
a(4)=((z(1)*y(2)+1)*z(3)+z(1))*y(4)+z(1)*y(2)+1

I now would like to (re)evaluate this result for z(1)=r1, y(2)=s*c1, 
z(3)=r2, y(4)=s*c2

How can this be done in Maxima?

hugo

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