How do I obtain a set of orthogonal polynomials up to the 7th term?

In summary, the conversation is about obtaining a set of orthogonal polynomials up to the 7th term. The person is unsure if they are on the right track and is seeking help. They mention using Gram-Schmidt and ask for the recursion relation to be written in Latex. It is suggested to use a computer instead of doing the calculation by hand. The Legendre polynomials are mentioned as a reference for checking the work. The person is then asked to explain why they are doing it the hard way instead of using a recurrence relation.
  • #1
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Hello everyone,
I need some help with this solution. I'm trying to obtain a set of orthogonal polynomials up to the 7th term. I think i got it up to the 6th term, but the integration is getting more complex. I'm not sure if I'm on the right track. Please help
 
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  • #2
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  • #3
Could you write the recursion relation, preferably in Latex?
 
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  • #4
Nobody wants to wade through your hand-written figures. If you want a response, you're going to have to learn how to enter it into latex.
 
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  • #7
If you mean typing out all your handwriting, first please explain why you seem to be doing it the hard way (rather than using the recurrence relation for example).
 
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