# How to prove this

by zetafunction
Tags: prove
 P: 399 given a set of orthogonal polynomials with respect to a certain measure w(x) $$\int_{a}^{b}dx w(x) P_{n} (x)P_{m} (x) = \delta _{n,m}h_{n}$$ how can anybody prove that exists a certain M+M Hermitian matrix so $$P_{m} (x)= < Det(1-xM)>$$ here means average or expected value of 'x' if we knew the set of orthogonal polynomials $$P_{m} (x)$$ for every 'm' and the measure w(x) , could we get the expression for the matrix M ??
 P: 607 Your equation doesn't make much sense to me. How about providing an example. A particular orthogonal system and the corresponding matrix.
P: 979
 Quote by mathaino I recommend "proof by believe", i.e. write something that looks like a proof, believe it is a correct proof, without being able to check whether it is correct.
Looks like we got ourselves a troll.

P: 3

## How to prove this

Interesting way to react to posts that do not tickle the own ears - delete them. You guys are not seekers of truth. Ibn al Haytham would be ashamed for you all.

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