public static double HermiteH( int n, double x )
Public Shared Function HermiteH ( n As Integer, x As Double ) As Double
public: static double HermiteH( int n, double x )
static member HermiteH : n : int * x : float -> float
|ArgumentOutOfRangeException||n is negative.|
Hermite polynomials are orthogonal on the interval (-∞,+∞) with the weight e-x2.
They appear in the solution of the one-dimensional, quantum mechanical, harmonic oscillator.
Statisticans' Hermite polynomials (see HermiteHe(Int32, Double)) are related to physicists' Hermite polynomials via Hn(x) = 2nHn(x √2). Statisticians' Hermite polynomials do not grow as quickly as physicists', and may therefore be preferable for large values of n and x which could overflow Double.