Description

Computes the value of H_m(x), the Hermite polynomial of order m.

Syntax

Hval = Herm( x, mindx )

Parameters

Hval (Double)

Return value for the Hermite polynomial of mode index mindx evaluated at coordinate x.

x As Double

Argument used to evaluate the polynomial.

mindx As Long

Order of Hermite polynomial

Remarks

Computes the value of H_m(x), the Hermite polynomial of order m at value x.

H_m(x) = (-1)^me^{x^2} H_m( Sqrt(2)*x )

The Hermite polynomials obey the recursion relation:

H_m+1(x) = x2H_m(x) - m2H_m-1(x)

where H0(x) = 1 and H1(x) = 2x

See Also

Lagr