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Zeros of Hermite Polynomials

by razapocalypse
Tags: eigenvalue, hermite, orthogonal, polynomials, quantum
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razapocalypse
#1
Jul2-12, 07:12 AM
P: 1
So I was working on eigenvalues of tridiagonal matrices, interestingly I get hermite polynomials as the solution.

Is it possible to get an exact form for the zeros of hermite polynomials?
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lpetrich
#2
Jul3-12, 10:44 AM
P: 530
There isn't one, as far as I know. I checked on Abramowitz and Stegun: Handbook of Mathematical Functions, but I couldn't find much on Hermite-polynomial roots. Hermite polynomials are in there under "Orthogonal Polynomials".


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