Hermite polynomials

Generate Hermite polynomials Hn(x) where n is the polynomial order.

Compute Hermite polynomials.

h = hermite(n)
h = hermite(n,x)

Inputs:
- n is the order of the Hermite polynomial (n>=0).
- x is (optional) values to be evaluated on the resulting Hermite polynomial function.

There are two possible outputs:
1. If x is omitted then h is an array with (n+1) elements that contains coefficients of each Hermite polynomial term. E.g. calling h = hermite(3) will result h = [8 0 -12 0], i.e. 8x^3 - 12x.

2. If x is given, then h = Hn(x) and the shape of h is in the same size of x. E.g., H2(x) = 4x^2 - 2, then calling h = hermite(2,[0 1 2]) will result h = [-2 2 14].

More information: http://suinotes.wordpress.com/2010/05/26/hermite-polynomials-with-matlab/

Authors:
Avan Suinesiaputra (avan dot sp at gmail dot com)
Fadillah Z Tala (fadil dot tala at gmail dot com)