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I think I see what you mean. What does 'orthogonal' mean, exactly? Matrix-related?

 

The problem is that ever after getting rid of the first term, it's still pretty complex.

 

What I have is a formula which expresses the result for (say) M=3, N=2 in terms of the result when M=2, N=1 and this can be used and re-used until the M's and N's go down to zero (or 1?). Trying to get something simpler.

1121633[/snapback]

 

 

:wacko:

 

Orthoganal in this sense means one of the parts of the integral reducing to zero- multiplying by zero gives...

 

I think a touch simplistic for this case and usually that technique is something given by examiners as a short cut type reward if you spot it.

 

Might be worth looking up transforms- we had to learn fourier transform to interpret spectrographs and for some reason that monster of an integral seems to fit with the concept (there's loads of them).

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