Zeros of Hermite Polynomials

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?

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".