Function: hermite( n, x )
Example:
hermite(2,x); ratsimp(%);
Hermite Polynomial :
H0(x) = 1 H1(x) = x H2(x) = x^2 - 1 H3(x) = x^3 - 3x H4(x) = x^4 - 6x^2 + 3 H5(x) = x^5 - 10x^3 + 15x ...
Recurrence Formurla :
H_n+1(x) - x H_n(x) + n H_n-1(x) = 0 H_n'(x) = n H_n-1(x)See Also ...