HermiteH[n, x] gives the Hermite polynomial .
Mathematical function (see Section A.3.10).
Explicit polynomials are given for non-negative integers n.
The Hermite polynomials satisfy the differential equation .
They are orthogonal polynomials with weight function in the interval .
HermiteH[n, x] is an entire function of x with no branch cut discontinuities.
See The Mathematica Book: Section 3.2.9.
See also: LaguerreL.