# Zeros of Hermite Polynomials

by razapocalypse
Tags: eigenvalue, hermite, orthogonal, polynomials, quantum
 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?
 P: 495 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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