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complicated recursion relations

• To: mathgroup at smc.vnet.net
• Subject: [mg26748] complicated recursion relations
• From: RUDOLPH JOHN MAGYAR <rjmagyar at unix.amherst.edu>
• Date: Fri, 19 Jan 2001 02:14:23 -0500 (EST)
• Organization: Amherst College
• Sender: owner-wri-mathgroup at wolfram.com

I have a set of four functions which are related by a series of recursive formulae.  For example (The real problem is a much messier version of this),

b[n+1]-b[n-1]=b[n]

b[n+1]*sin((n+1)/2*pi) -d[n-1]*sin((n-1)/2*pi)
+c[n+1]*sin((n+1)/2*pi) -e[n-1]*sin((n-1)/2*pi)
= d[n]*sin(n/2*pi) - e [n]*sin(n/2*pi)

b[n+1]*sin(3(n+1)/2*pi) -d[n-1]*sin(3(n-1)/2*pi)
+c[n+1]*sin(3(n+1)/2*pi) -e[n-1]*sin(3(n-1)/2*pi)
= d[n]*sin(3n/2*pi) - e [n]*sin(3n/2*pi)

Well, I actually have more terms and a bigger mess, but can I use mathematica to untangle this mess like this?

-- 
Rudolph J. Magyar
rjmagyar at amhux4.amherst.edu
Web Address: www.amherst.edu/~rjmagyar