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Transformation rule problem

• To: mathgroup at smc.vnet.net
• Subject: [mg58041] Transformation rule problem
• From: Oliver Buerschaper <groo137vy at yahoo.co.uk>
• Date: Thu, 16 Jun 2005 07:19:35 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

Hi there,

I'm stuck with a problem concerning transformation rules and was 
wondering whether somebody could give me a hint on this. I wouldn't 
mind a complete solution either ;-) Here's the problem:

In a sum like for example

a^2 b^4 + a^3 b + a^5 + a^5 b

I'd like to replace every instance of the product (a b) by a different 
expression, let's call it d. Thus my result should look like

d^2 b^2 + a^2 d + a^5 + a^4 d

This replacement is required to work for arbitrary a and b (especially 
when they're functions). I've already tried some simple transformation 
rules but they couldn't do the job.

Cheerio,
Oliver