r̲e̲a̲l̲ p̲r̲o̲c̲e̲d̲u̲r̲e̲ He(n, X); c̲o̲m̲m̲e̲n̲t̲ 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; i̲n̲t̲e̲g̲e̲r̲ n; r̲e̲a̲l̲ X; b̲e̲g̲i̲n̲ r̲e̲a̲l̲ a, b, c; i̲n̲t̲e̲g̲e̲r̲ i; a := 1; b := 2×X; i̲f̲ n = 0 t̲h̲e̲n̲ c := a e̲l̲s̲e̲ i̲f̲ n = 1 t̲h̲e̲n̲ c := b e̲l̲s̲e̲ f̲o̲r̲ i := 1 s̲t̲e̲p̲ 1 u̲n̲t̲i̲l̲ n - 1 d̲o̲ b̲e̲g̲i̲n̲ c := 2 × X × b - 2 × i × a; a := b; b := c e̲n̲d̲; He := c e̲n̲d̲;