Zeros of Hermite Polynomialsby razapocalypse Tags: eigenvalue, hermite, orthogonal, polynomials, quantum 

#1
Jul212, 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? 



#2
Jul312, 10:44 AM

P: 514

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 Hermitepolynomial roots. Hermite polynomials are in there under "Orthogonal Polynomials".



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