HermiteH

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.

Further Examples