real procedure He(n, X);
comment This procedure computes the Hermite polynomial
Hn(X) = (-1)^n * exp(X^2) * (d^n/dX^n(exp(-X^2)) for any
given real argument X, and any order, n, by
the recursion formula below;
integer n;
real X;
begin
real a, b, c;
integer i;
a ≔ 1;
b ≔ 2×X;
if n = 0 then c ≔ a else if n = 1 then
c ≔ b else for i ≔ 1 step 1 until n - 1 do
begin
c ≔ 2 × X × b - 2 × i × a;
a ≔ b;
b ≔ c
end;
He ≔ c
end;