Zeros of Hermite Polynomials

1. Jul 2, 2012

razapocalypse

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?

2. Jul 3, 2012

lpetrich

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".